# A solid disk, spinning counter-clockwise, has a mass of #4 kg# and a radius of #3 m#. If a point on the edge of the disk is moving at #2/5 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

The angular momentum is

The angular velocity is

The velocity at an angle is

where,

So,

The momentum of angular motion is

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Angular momentum: ( L = I \omega ), where ( I ) is the moment of inertia and ( \omega ) is the angular velocity.

Moment of inertia for a solid disk: ( I = \frac{1}{2} m r^2 ).

Angular velocity: ( \omega = \frac{v}{r} ), where ( v ) is the linear velocity and ( r ) is the radius.

Calculate moment of inertia (( I )).

Calculate angular velocity (( \omega )) using ( \omega = \frac{v}{r} ).

Calculate angular momentum (( L )) using ( L = I \omega ).

Linear velocity (( v )) is given as ( \frac{2}{5} ) m/s.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object with a mass of # 2 kg# is traveling in a circular path of a radius of #2 m#. If the object's angular velocity changes from # 3 Hz# to # 8 Hz# in # 1 s#, what torque was applied to the object?
- An object with a mass of # 7 kg# is traveling in a circular path of a radius of #9 m#. If the object's angular velocity changes from # 2 Hz# to # 23 Hz# in # 8 s#, what torque was applied to the object?
- Why does the location of the center of gravity depend on how an object’s mass is distributed?
- A sphere is moving around in the air. If the moment of inertia is 10 Kg m2 and a radius of 1m. What is its mass?
- The rate of rotation of a solid disk with a radius of #1 m# and mass of #5 kg# constantly changes from #16 Hz# to #27 Hz#. If the change in rotational frequency occurs over #12 s#, what torque was applied to the disk?

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