(b) A clock is showing 3.30. Calculate the angular displacement in degrees from the $12.00$ position of the clock to:

(ii) The hour hand.

Convert the following angles from degrees into radians: $30°,90°,105°$.

(b) Convert these angles from radians to degrees:

$0.5\mathrm{rad},0.75\mathrm{rad},\pi \mathrm{rad},\frac{\pi }{r}\mathrm{rad}$

Express the following angles as multiples of $\pi$ radians:

$30°,120°,270°,720°$

Explain why all the velocity arrows in Figure are drawn the same length.

A toy train travels at a steady speed of $0.2 \mathrm{m}{\mathrm{s}}^{-1}$ around a circular track. A and B are two points opposite to one another on the track.

A toy train travailing around a circular track

(a) Determine the change in the speed of the train as it travels from A to B.

A toy train travels at a steady speed of $0.2 \mathrm{m}{\mathrm{s}}^{-1}$ around a circular track. A and B are two points opposite to one another on the track.

A toy train travailing around a circular track

Determine the change in the velocity of the train as it travels from A to B.

In a washing machine, the clothes are held in cylinder called a drum. The drum has holes in it that allow water to enter the drum and also to drain out of the drum.

The drum of a particular washing machine spins at a rate of 1200 rpm (revolutions per minute).

(a) Determine the number of revolutions per second of the drum.