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Question

The wheel of a cart is making 4 revolutions per second. If the diameter of the wheel be 84 cm, find its speed.


A

34 km /hr

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B

48 km /hr

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C

38 km /hr

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D

42 km /hr

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Solution

The correct option is C

38 km /hr


Radius of wheel = 84 cm

The distance travelled in one revolution = 2πr

=2×227×42 cm = 264 cm.

The distance travelled in 4 revolution = 4 × 264 cm = 1056 cm.

Distance travelled in one hour= 1056 cm×3600 sec100000

= 38 km

So, its speed is 38 km /hr.


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