Question

A wheel rotates with a constant angular velocityof 300 rpm. The angle through which thewheel rotates in one second is
a:π rad
b. 5π rad
c. 10π rad
d. 20π rad

Answer 1

C. 10 π
If you convert 300 rotation per minute into rotation per second, you will get 5 rotations per second.
The wheel is rotating at the speed of 5 rotations per minute. 1 rotation is 2π then 5 rotations are 10 π.

Answer 2

Answer:

(c). The angle through which the wheel rotates in one second is $10\pi\ rad$.

Explanation:

Given that,

Angular velocity v= 300 rpm

The angular velocity in rad/sec.

$v = \dfrac{2\pi\times300}{60}rad/sec$

$v= 10\pi\ rad/sec$

The angle through which the wheel rotates in one second is

$\theta=\omega\times t$

$\theta=10\pi\times 1$

$\theta= 10\pi\ rad$

Hence, The angle through which the wheel rotates in one second is $10\pi\ rad$.