A clock hanging on a wall has the following dimensions: o The minute and second hand are 15 cm in length o The hour hand is 8 cm long o The clock is centered 3 m above the ground a)For each of the hands, find the equation of the height above the ground of the tip of its hand over time. For convenience, use t (min) and h (cm), and assume that the starting time is midnight. b) Find the height of the tip of each of the hands at 1:50:35 a.m.
Depends on the clock. Probably seconds.
Because it counts seconds.
one second
In many cases, there is a third hand that ticks on seconds
Fast moving long hand: seconds Slower moving long hand: minutes Slowest moving short hand: hours
The speed of a clock hand depends on what the clock hand indicates the second hand is 2pi per 60seconds, the minute hand is 2pi per 3600 seconds and the hour hand is 2pi per 216000 seconds.
it moves at one click every 60 seconds
It takes 1 minute to rotate 1 time.
Depends on the clock. Probably seconds.
The minute hand traces its path around the clock once in an hour. The distance travelled by the tip of the hand in this time is 2 x pi x 5cm.The speed is then 10pi cm/hour, which is 8.73 x 10-5 ms-1.
Because it counts seconds.
one second
The second hand makes one full revolution in 60 seconds. The distance travelled by the tip depends on the length of the second hand - this is the radius of the circle. For example, for a 10-centimeter second-hand (the clock has a diameter of about 20 centimeters - that's a clock like you would typically see on a wall), the speed of the second-hand's tip is (2 x pi x radius) / 60 seconds = 2 x 3.14 x 10 / 60 or about 1.05 cm/second.
It doesn't matter where it is on the clock. If the clock is working properly, the speed of the hand is constant.The hand's angular speed is 360 degrees per minute = 6 degrees per second.For the linear speed, the tip of the second-hand revolves in a circle whose circumference is(2 pi) times (length of the hand) = 4 pi centimeters.It revolves once per minute. So the speed of the tip is (4 pi) cm/minute, or (240 pi) cm/hour.In numbers, the speed at the tip is:12.6 cm/minute2.09 mm/sec7.54 meters/hour0.000469 mile/hour593.7 feet/day12.593 furlongs/fortnight.Notice that this is the speed at the second-hand's tip. Other points on it travel slower.The closer the point is to the center, the slower its speed is. At the center, it spins, butthe linear speed is zero.
Because it points at the seconds? hours minutes seconds
Analog, as opposed to digital.
In many cases, there is a third hand that ticks on seconds