The angular displacement made in one second is also called the angular speed, .
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
The angular displacement made in one second is also called the angular speed, ω .
(a) i Write the equation to show how ω is related to the time period, T, of rotation.
iii Write the equation to show how ω is related to the frequency, f, of the rotations.
(b) Calculate the angular speed, ω, of
- i the Earth in its orbit around the Sun.
- ii a children's carousel that makes one rotation in one minute.
- iii the Moon that makes 13 rotations of the Earth in one year.
(c) The Singapore Flyer is a large Ferris wheel of radius 75 m, with observation pods for spectators on the circumference. It takes 30 minutes to make one complete rotation. Calculate the
- i frequency of the Singapore Flyer's rotation.
- ii angular speed of the Singapore Flyer.
- iii linear speed at which one of the observation pods travels.