angular velocity

Question

A femur which is 0.5 m long (meaning the end of the femur is 0.5 m from the axis of rotation) moves through an angle of 0.52 rad in 0.5s.

a) what is the average angular velocity of the end of the femur?

b) what is the average angular velocity of the greater trochanter, which is 0.004 m from the axis of rotation?

c) what is the average linear/tangential velocity of the end of femur?

d) what is the average linear/tangential velocity of the greater trochanter?

Answer 1

(a) Using ω = Δθ / Δt where Δθ is the change in angle and Δt is the time taken, we can calculate the average angular velocity of the femur.

(b) ω does not depend on radius

Using ω = v / r, where v is the average linear velocity of the greater trochanter and r is the distance from the axis of rotation to the greater trochanter, we can:

(c) solve for the average linear or tangential velocity of the end of the femur when r = 0.5m and using ω from part (a)

(c) solve for the average linear or tangential velocity of the greater trochanter when r = 0.004m and using ω from part (a)