1 revolution = (2 pi) radians
1 minute = 60 seconds
250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]
= 26.18 radians per second (rounded)
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute. This is how you get these answers: (a). Revolutions per minute. 1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816 2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute. 3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3. (b). Angular speed = central angle/time = Theta/t 1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
264
90 degrees or (pi)/2 radians, with the hour hand on the right end and the minute hand pointing up.
The relationship between revolutions per minute (RPM) and relative centrifugal force (xg) is: g = (1.118 × 10-5) R S2 where g is the relative centrifugal force, R is the radius of the rotor in centimeters, and S is the speed of the centrifuge in revolutions per minute. You can use this for any centrifuge, just measure the radius of the rotor from the center to outer edge.
Firstly I'm assuming that the wheel's diameter is 35cm. If it is not in cm, then you will need to fix the following calculations. a = v2/r Calculating the speed of the clay comes to approximately 1.65m/s Substituting into the formula gives an acceleration of approximately 7.8m/s2 (If you were actually looking for an angular acceleration, you will need to use a different formula)
In revolutions per minute (rpm), or radians per second.
1 revolution = 2PI radian. 2 revolutions = 4PI radian The angular speed of the Ferris wheel is 4PI radians . Multiply by the radius. The linear speed is 100PI feet per minute.
Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.
'RPM' is one of many units that can be used to describe angular speed. Angular speed is (any unit of angle) divided by (any unit of time). That's exactly what you have in the unit 'RPM'. 'RPM' means "revolutions per minute". "Revolution" is a unit of angle ... it's exactly 360 degrees ... and "minute" is a unit of time. So RPM is a perfectly fine unit for measuring/describing angular speed.
It means how fast something rotates. Rather than taking the linear speed (meters per second, or some other common unit of speed), the angular velocity is specified in radians per second, degrees per second, revolutions (full turns) per minute, or something similar. By this definition, each part of a solid, rotating object rotates at the same angular speed.
Angular velocity measures how fast an object is rotating around a fixed axis. It is a measure of the rate of change of the object's angular displacement per unit of time. This quantity is important in understanding the motion of objects that rotate, such as wheels, planets, or gyroscopes.
The angular velocity of the minute hand can be calculated as 2π radians divided by the time it takes to complete one full revolution, which is 60 minutes. Therefore, the angular velocity of the minute hand is π/30 radians per minute.
http://answers.yahoo.com/question/index?qid=20080709220243AAS7f8Igo to this link and there is a problem just like it, just different numbers. it is correct..i checked it with my physics book solutions!
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute. This is how you get these answers: (a). Revolutions per minute. 1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816 2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute. 3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3. (b). Angular speed = central angle/time = Theta/t 1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
Angular speed = 2*pi radians per 60 seconds = pi/30 radians per second.
[ T-1 ] . Reciprocal time, from "degrees per second" .The angle part of it is dimensionless.
Two common measures are revolutions per minute, and radians per second. One revolution is 2pi radians. Radians are preferred in science because the radian (57.296 degrees) is the natural measure of angles, because d/dx sin(x) = cos (x) only if x is measured in radians.