Question

1. A body travelling in a clockwise direction, moves uniformly with a spend of 3.5m s^-1 in a circle of diameter 10cm. (Shown opposite)

(a) Copy the diagram and mark in vectors representing the velocity of the body at the positions A, B and C shown?

(b) Calculate its radial (i.e. centripetal) acceleration?

Answer 1

(a) is straight forward.

Answer 2

(b)
d = 10cm
r = 5cm
Convert 5cm to m

\[5cm \times \frac{ 0.01m }{ 1cm } = 0.05m\]

Solve for circumference
Solve for time it takes to go around the circumference
-Use frequency (# of revolutions per second)
Use time to find the angular velocity
Use angular velocity to find the tangential velocity
Use angular velocity to find the centripetal acceleration

Answer 3

Check centripetal acceleration by solving for it through tangential velocity as well.

Answer 4

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