Question

A wheel rotates 15 times each
minute. How many degrees will it
rotate in 12 seconds of time?

Answer 1

Wheel Rotates 15 times in 60 seconds

This implies that the wheel completes

15 × 360 degrees in 60 seconds

therefore,

In 1 second it Rotates 15× 360 / 60

=> 15×6 = 90 °

in 12 seconds , 12×90 = 1080°.

Answer 2

The wheel will rotate 1080 degrees in 12 seconds of time

Solution:

Given that,

A wheel rotates 15 times each  minute

1 minute = 15 times

1 minute = 60 seconds

Therefore, Wheel Rotates 15 times in 60 seconds

Thus, the wheel completes,

$15 \times 360^{\circ}$ in 60 seconds

Thus, in 1 second, it rotates,

$15 \times 360^{\circ} \times \frac{1}{60}$

How many degrees will it  rotate in 12 seconds of time?

In 12 seconds, the wheel will rotate:

$15 \times 360^{\circ} \times \frac{1}{60} \times 12 = 1080^{\circ}$

Thus the wheel will rotate 1080 degrees in 12 seconds of time

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