Well, roughly, it depends on weight, but not at first. Initially you fall at the acceleration of gravity at 32 feet per second per second. Velocity is acceleration x time and you reach a terminal velocity of about 110 mph depending on weight, or about 160 feet per second. Thus it takes 160/32= 5 seconds to reach that speed; then the sped is constant due to (drag) at 160 feet per second. You would have traveled s = 1/2 accel x time squared = 32/2 x 5x5 = 400 feet. You have 5600 feet to go and s = vt = 5600; t = 5600/160 = 35 seconds. Total time is 35 + 5 = 40 seconds
HOW MUCH WOOD From: http://www.cdc.gov/nasd/docs/d001201-d001300/d001235/d001235.html The following is called the Smithers method for estimating the number of cords of wood to heat a house. A standard cord is a well stacked pile of wood 128 cubic feet in volume, a pile 4 feet by 4 feet by 8 feet. Most people have some way to arrive at the amount of conventional fuel it takes to heat the house for an average year. The Smithers method assumes the following equivalents to one cord of average dry hardwood* (W):150 gallon No. 2 fuel oil230 gallon LP gas21,000 cubic feet natural gas6,158 kwh electricity*Dry hardwood is not as commonly sold as green hardwood, which requires about 20 percent more volume to yield equivalent energy to the air dry hardwood. Use the following Energy Efficiency values: Eb Heater Ew Wood Heater 0.65 Oil Furnace 0.10 Fireplace 0.70 Gas Furnace 0.25 Improved Fireplace 1.00 Electric 0.30 Nonairtight Stove 0.65 LP Gas 0.50 Airtight Stove 0.60 Wood Furnace 0.65 Airtight Stove with Catalytic Combustor The Smithers method equation is: Cords = B x E b-------------------------W x E w Where B = units of conventional fuel consumed per year. Example 1: Assume you are considering purchase of a wood furnace and your use of No. 2 fuel oil has averaged 500 gallons per year in recent years. How much wood is needed to produce the same quantity of heat if a wood furnace is used? Cords = 500 gal x .65--------------------------------------150 gal x .60 = 3.6 cords Example 2: Assume you are considering purchase of an airtight stove with catalytic combustor and your use of natural gas has averaged 60,000 cubic feet per year in recent years. How much wood is needed to produce the same quantity of heat if an airtight stove with catalytic combustor is used? Cords = 60,000 cu ft x .70-------------------------------------21,000 cu ft x .65 = 3.1 cordsFUEL COST COMPARISONS Before considering the following examples, refer to Circular 584 for certain definitions, such as cord, efficiency, BTU, and energy equivalents. Also check for wood characteristics, including weight and heating value per cord of wood species common to South Carolina. I. First, let's compare wood with other fuels, being concerned only with wood that is split and delivered to the house at a specific price. A. Cost per Million Btu's (MBtu) Useful Heat Into the Room:1) Fuel oil at $1.00 per gallon: There are 140,000 Btus per gallon of fuel oil and oil furnace efficiency equals 0.65: 1,000,000 Btu x $1.00/gal-------------------------------------140,000 Btu/gal x .65 = $10.99/MBtu Note 1: Fuel oil at any other price is a multiple of this. For example, with fuel oil at $1.50 per gallon, the cost per MBtu = ($10.99/MBtu) x 1.5 = $16.48/MBtu since $1.50 per gallon is 1.5 times the $1.00 per gallon price.(2) Electricity at $.10/kwh, 3,414 Btu/kwh, and efficiency equals 1.0: 1,000,000 Btu x $.10/kwh--------------------------------------3,414 Btu/kwh x 1.0 = $29.29/MBtu Note 2: Electricity at any other price is a multiple of this. For example, with electricity at $.08 per kwh, the cost per MBtu = ($29.29/MBtu) x 0.8 = $23.43/MBtu since $.08/ kwh is 0.8 of the $.10/kwh price. (3) Natural gas at $1.00/100 cu ft, 1000 Btu/cu ft, and efficiency equals 0.70: 1,000,000 Btu x $1.00/100 cu ft--------------------------------------1,000 Btu/cu ft x .70 = $14.29/MBtu Note 3: Natural gas at any other price is a multiple of this. For example, with natural gas at $.70 per 100 cu ft, cost per MBtu = (14.29/MBtu) x 0.7 = $10.00/MBtu since $.70/ 100 cu ft is 0.7 of the $1.00/100 cu ft price. (4) Wood (between green and air dry red oak) at $120/ cord, 19.6 MBtu/cord, and efficiency of airtight stove equals 0.50: 1,000,000 Btu x $120/cord-------------------------------------------19,600,000 Btu/cord x .50 = $12.24 /MB+u Note 4: Wood prices will vary considerable across the state. B. Fuel Quantity /Cost Comparison:A homeowner is using 700 gallons fuel oil per year and wants to switch to wood heat using an airtight stove and half dry red oak at the above prices. Compare these: (1) 700 gal fuel oil x 140,000 Btu/gal x .65 efficiency = 63.7 MBtu Annual cost = 700 gal x $1.50/gal = $1,050 (2) Wood required = 63.7 MBtu useful heat/season-------------------------------------19.6 MBtu/cord x .50 eff. = 6.5 cords Annual cost = 6.5 cords x $120/cord = $780 (3) Savings by using wood = $1,050 $780 = $270/ season (4) Wood/fuel oil energy equivalence for these conditions: 700 gal fuel oil = 6.5 cords red oak or 1 cord red oak = 108 gallons fuel oil C. How Much Can You Afford to Pay for Wood Compared to Conventional Fuels When Using an Airtight Stove? (1) Cost/MBtu ¸ cords wood to give MBtu (useful heat into room)(2) From A.1 above, fuel oil at $1.50/gal $16.48/MBtu; cords/MBtu useful heat = 1 MBtu--------------------------------------19.6 MBtu/cord x .50 eff. = .102 cord 16.48/MBtu-----------------------------------.102 cord/MBtu = $161.57/cord (3) Electricity at $.08/kwh = $23.43/MBtu $23.43/MBtu-------------------------------.102 cords/MBtu = $229.70/cord (4) Natural gas at $.70/100 cu ft = $10.00/MBtu $10.00/MBtu------------------------------.102 cord/MBtu = $98.04/cord II. Consider the case where you have your own tools for cutting wood and you have a pickup truck to haul it. You have located a good place to cut wood 4 miles from your home at a $25/cord charge for what is taken. The pickup will haul 1/ 2 cord of wood when it is well stacked. You figure you can cut, load, and haul a load in 3 hours and split and stack a load in 2 hours. You plan to cut the season's requirement mentioned above (6.5 cords). Let's figure the annual wood cost: Permit Charge: $25/cord x 6.5 cords = $162.50 Transportation: 8 miles/trip x 13 trips35 x $.40/mi. (est.) = 41.60 Chain Saw: $35 F.C. + $30 O.C. = 65.00 Other Tools, Personal Protective Equipment: = 25.00 Labor Costs: Cut/haul 3 hr x 11 loads x $5/hr = 65.00 Split/stack 2 hr x 11 loads x $5/hr = 10.00 Total = $569.10 or$65.67/cord Good points can be made as to why some of these charges should be higher or lower than indicated. For example, some people say they enjoy that type of work and do not feel a labor charge is necessary; on the other hand, some who perform hard physical work during the normal work day would say the labor charge is too low. Also, many people may have wood on their own land or have free access to wood, eliminating that charge. Cost comparisons must be tailored to fit each specific case. III. Another major economic consideration is that of the fixed cost for the wood heater as compared to that for the conventional fuel heater. A simplified comparison is given. Consider the fixed cost for buying and installing an airtight stove to be $2,100. The same heating capacity oil furnace could be purchased and installed for $1,700 at a difference of $400 in investment. Assume the lifetime for each of the heaters to be 15 years when maintained properly. If current interest rates are used and the loss of this interest on the $400 investment difference is added to the $400 difference, the annual saving in fuel cost by using wood would have to exceed about $111 to economically justify the wood stove over the oil furnace. Reference to I.B.(3) indicates the annual savings for using wood to be $270 without considering the investment. If the oil furnace initial cost were more or the wood stove were less, the annual savings by using wood would not have to be as great. On the other hand, if the difference in investment costs between the two furnaces were greater than the $400 illustrated, the annual savings would have to be even greater to economically justify the wood stove. MY FUEL USE COMPARISONS: Current Fuel Type____________________ Annual Fuel Usage________________________ Wood Equivalent to This: Cords = Annual fuel quantity x E heater-----------------------------------------------One cord wood equivalent x E wood heater = ___________________USEFUL REFERENCES Heat Producing Appliance Clearances. NFPA No. 89M, National Fire Protection Association, 470 Atlantic Avenue, Boston, MA 02210. Chimneys, Fireplaces, and Vents. NFPA No. 211, National Fire Protection Association, 470 Atlantic Avenue, Boston, MA 02210.Heating With Wood. Larry Gay. Garden Way Publishing, Dept. 90731, Charlotte, VT 05445, 128 pp. Planning and Building Your Fireplace. Margaret and Wilbur F. Eastman, Jr. Garden Way Publishing, Dept. 90731, Charlotte, VT 05445, 128 pp. Woodstove Cookery. Jane Cooper. Garden Way Publishing, Dept. 90731, Charlotte, VT 05445, 204 pp.Woodstove Directory. 1986. Communications Press, P. O. Box 4474, Manchester, NH 03108. When Does It Pay To Burn Wood." 1980. Paul Stegmier and L. T. Hendricks. Wood Burning Quarterly - Home Energy Digest. V.4(2):4953. How To Buy the RightSize Wood Stove." 1978. Charles Banker. Wood Burning Quarterly - Home Energy Digest. V.3(1):8188. How Many Cords Are Enough." 1978. Michael Harris. Wood Burning Quarterly - Home Energy Digest. V.2(4):1618.
9
Divide by 2, 5 and 7 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 = 5600
No. All whole numbers ending in zero are composite.
25 x 52 x 7
5600
Well, well, well, look who's trying to get fancy with logarithms. The logarithm of 5600 depends on the base you're using, but if we're talking about the common logarithm (base 10), then the log of 5600 is approximately 3.7482. So, there you have it, darling, now go impress your friends with your newfound logarithmic knowledge.
9.2% of 5600 is 515.2
4480 people= 80%/100% * 5600= 0.8 * 5600= 4480
5600/7 = 800.
5600 / 2 is equal to 2,800.
7
56 = 5600 / 100
Answer: 5600 m = 18372.703 '