A circular disc is rotating about its own axis at uniform angular velocityω. The disc is subjected to uniform angular retardation by which its angular velocity is decreased to ω/2during120rotations. The number of rotations further made by it before coming to rest isa)120b)60c)40d)20Correct answer is option 'C'. Can you explain this answer?

Question

A circular disc is rotating about its own axis at uniform angular velocity&omega;. The disc is subjected to uniform angular retardation by which its angular velocity is decreased to &omega;/2during120rotations. The number of rotations further made by it before coming to rest isa)120b)60c)40d)20Correct answer is option 'C'. Can you explain this answer?

Answer

Answer

When a circular disc is rotating about its own axis at a uniform angular velocity, all points on the disc move in a circular path around the axis of rotation. The angular velocity represents the rate at which the disc rotates, and it is constant throughout the disc.

The angular velocity is measured in radians per second (rad/s) and is denoted by the symbol ω (omega). It determines how fast the disc rotates, with a higher angular velocity corresponding to a faster rotation.

The points on the disc that are farther away from the axis of rotation have a larger linear velocity than the points closer to the axis. This is because the linear velocity is directly proportional to the distance from the axis of rotation and the angular velocity.

The relationship between the angular velocity (ω), linear velocity (v), and the distance from the axis of rotation (r) is given by the equation:

v = ω * r

where v is the linear velocity, ω is the angular velocity, and r is the distance from the axis of rotation.

In summary, when a circular disc is rotating about its own axis at a uniform angular velocity, all points on the disc move in a circular path around the axis, and the linear velocity of each point is determined by the product of the angular velocity and the distance from the axis of rotation.

Top Courses for JEE

Top Courses for JEE

Related Content

JEE Courses

Mock Test Series

Past Year Papers

Additional Courses

Company