A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute. Calculate : the angle subtended at the centre by the minor arc.

Answer and Explanation: (P.S. If this helps you please help me by following me on IG: anxme.vxbez)

When the wheel rotates one revolution the point of the rim will travel a distance which is equal to circumference of the wheel circle.

Distance travel for one revolution = 2pir

Distance travel for one revolution = 2pixx10 = 20picm

The wheel rotates 5 revolutions per minute. So the distance travel by the point will be 20pixx5 = 100pi .

For one minute(60 seconds) the point travels 100picm distance.

So distance travelled in 2 seconds = 100pixx2/60 = 10.47cm

So the answer is 10.47cm.

Note:

Here we have to assume that the wheel rotates at a constant speed.

the answer will be the last one

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