Question

A disc of mass 100g and radius 10cm has a
projection on its circumference. The mass of
projection is negligible. A 20g bit of putty
moving tangential to the disc with a velocity
of 5ms-' strikes the projection and sticks to it.
The angular velocity of disc is
​

Answer 1

Answer:

100/7 radians per second

Explanation:

This question is based on angular momentum conservation...

Answer 2

The angular velocity of disc is 14.28 m/s.

Explanation:

Given that,

Mass of disc m=100 g

Radius = 10 cm

Velocity = 5 m/s

Mass of putty M= 20 g

We need to calculate the angular velocity of disc

Using formula of angular velocity

$MvR=(\dfrac{mR^2}{2}+MR^2)\omega$

$\omega=\dfrac{MvR}{(\dfrac{mR^2}{2}+MR^2)}$

Put the value into the formula

$\omega=\dfrac{20\times5\times10\times10^{-2}}{(\dfrac{100\times(10\times10^{-2})^2}{2}+20\times(10\times10^{-2})^2)}$

$\omega=14.28\ m/s$

Hence, The angular velocity of disc is 14.28 m/s.

Learn more :

Topic : angular velocity

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