Question

A solid cylinder of radius 5cm is pure rolling on 30degree inclined plane. Find out angular velocity after it travels 6m on inclined plane.Pls Solve it...

Answer 1

Answer:

It's answer is 40 root 10

Answer 2

The angular velocity is 200 rad/s.

Explanation:

Given that,

Radius = 5 cm

Angle = 30°

Distance = 6 m

We need to calculate the velocity

Using conservation of energy of center of mass

$K.E=P.E$

$\dfrac{1}{2}mv^2=mgh$

$v^2=2gh$

Put the value of h

$v=\sqrt{2\times9.8\times6\cos30}$

$v=10.0\ m/s$

We need to calculate the angular velocity

Using formula of angular velocity

$v= r\omega$

$\omega=\dfrac{v}{r}$

Put the value into the formula

$\omega=\dfrac{10.0}{5\times10^{-2}}$

$\omega=200\ rad/s$

Hence, The angular velocity is 200 rad/s.

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Topic : angular velocity

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