Question

angular velocity of wheel is 2 radian/second. Calculate the number of rotation of the wheel in
5 second
(1)5pie
(2) 10/pie
(3) 10
(4) 20
​

Answer 1

Answer:

option 2 is correct

Explanation:

no. of rotation=angular velocity*time/2π

= 2*5/2π = 10/2π

Answer 2

The number of rotation of the wheel in  5 second is $\dfrac{5}{\pi}$.

Explanation:

It is given that,

Angular velocity of the wheel, $\omega=2\ rad/s$

Time, t = 5 s

To find,

Number of rotations of the wheel.

Solution,

If $\theta$ is the angular displacement of the wheel. It is equal to angular velocity per unit time as :

$\omega=\dfrac{\theta}{t}$

$\theta=\omega\times t$

$\theta=2\times 5$

$\theta=10\ radian$

If n is the number of rotation of the wheel in  5 second. So,

$1\ revolution=2\pi\ radian$

So,

$n=\dfrac{10}{2\pi}$

$n=\dfrac{5}{\pi}$

So, the number of rotation of the wheel in  5 second is $\dfrac{5}{\pi}$.

Learn more,

Rotational kinematics

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