Practice 7F: | 1 | 2 | 3 | Go up
Acceleration - by Matt Henderson, 2003

1. A dog on a merry-go-round undergoes a 1.5 m/s^2 linear acceleration. If the merry-go-round's angular acceleration is 1.0 rad/s^2, how far is the dog from the axis of rotation?

In this problem we use the formula  at = (r)(a), at =1.5 m/s^2 and a = 1.0 rad/s^2 then you just plug it in 1.5 = r(1) and we find that r = 1.5 m

2. A young boy swings a yo-yo horizontally above his head at an angular acceleration of 0.35 rad/s^2. If tangential acceleration of the yo-yo at the end of the string is 0.18 m/s^2, how long is the string?

In this problem we use the formula  at = (r)(a), at = 0.18 m/s^2 and a = 0.35 rad/s^2 then you just plug it in .18 = r(.35) and we find that r = .514 m

3. What is a tire's angular acceleration if the tangential acceleration at a radius of 0.15 m is 9.4 X 10^-2 m/s^2?

In this problem we use the formula  at = (r)(a), at 9.4 X 10^-2 m/s^2 and r 0.15 m then you just plug it in 9.4 X 10^-2 m/s^2 = (.15)(a) and we find that a = .62 rad/s^2