Question

if a body subtends an angle of 60 in 10s its angular velocity is

Answer 1

Answer:

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Answer 2

The angular velocity of the body is 6rad/sec.

Given:-

Angle = 60°

Time = 10sec

To Find:-

The angular velocity of the body.

Solution:-

We can simply calculate the angular velocity of the body by using the following steps.

As

Angle (a) = 60°

Time (t) = 10sec

Angular velocity (w) =?

According to the rotational mechanics,

Differentiation of Angle with respect to time gives angular velocity.

$angular \: velocity = \frac{d \: angle}{d \: time}$

$w = \frac{da}{dt}$

On putting the values, we get

$w = \frac{60}{10}$

$w = 6 \frac{rad}{sec}$

Hence, The angular velocity of the body is 6rad/sec.

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