Question

A body of mass 10kg revolves in a circle of diameter 0.04m , making 1000 revolutions per minute. Calculate its linear velocity and centripitac acceleration?

Answer 1

Explanation:

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Answer 2

Answer:

The linear velocity and centripetal acceleration are 2.0944 m/s and 219.33 m/s².

Explanation:

Given that,

mass = 10 kg

Diameter = 0.04 m

Angular velocity = 1000 rev/min

We need to calculate the linear velocity

The linear velocity is equal to the product of the radius and angular velocity.

Using formula of linear velocity

$v= r\omega$

Where, r = radius

$\omega$ = angular velocity

Put the value into the formula

$v= \dfrac{0.04}{2}\times104.72$

$v=2.0944\ m/s$

We need to calculate the centripetal acceleration

The acceleration is equal to the square of linear velocity and divided by the radius.

Using formula of centripetal acceleration

$a_{c}=\dfrac{v^2}{r}$

Where, v = linear velocity

r = radius

Put the value into the formula

$a_{c}=\dfrac{2.0944^2}{0.02}$

$a_{c}=219.33\ m/s^2$

Hence, The linear velocity and centripetal acceleration are 2.0944 m/s and 219.33 m/s².