Non-uniform motion along a circle
Answers are for parents and teachers.
1
A wheel starts from rest with angular acceleration 5 rad/s². What is ω after 4 s (rad/s)?
20
2
Through how many radians does the same wheel turn in 4 s?
40
3
The rim of a merry-go-round of radius 2 m has ε = 0.5 rad/s². What is its tangential acceleration (m/s²)?
1
4
ω = 6 rad/s, R = 0.5 m. Find the centripetal acceleration aₙ (m/s²).
18
5
Why does a braking car wheel have ε < 0 while the angular velocity vector keeps its direction? (use the right-hand screw rule)
The vector ε points opposite to ω (ω decreases), while ω itself still points along the rotation axis in the same direction.