Rotational Kinematics

Front

What is rotational kinematics?

Back

Rotational kinematics is the branch of mechanics that deals with the motion of objects that rotate around an axis, focusing on angular displacement, angular velocity, and angular acceleration.

Front

Define angular displacement.

Back

Angular displacement is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis.

Front

What is angular velocity?

Back

Angular velocity is the rate of change of angular displacement with respect to time, typically measured in radians per second (rad/s).

Front

Define angular acceleration.

Back

Angular acceleration is the rate of change of angular velocity with respect to time, measured in radians per second squared (rad/s²).

Front

What is the formula for tangential speed?

Back

Tangential speed (v) is given by the formula v = r * ω, where r is the radius and ω is the angular velocity.

Front

How do you calculate the angular acceleration?

Back

Angular acceleration (α) can be calculated using the formula α = (ω_f - ω_i) / t, where ω_f is the final angular velocity, ω_i is the initial angular velocity, and t is the time taken.

Front

What is the relationship between linear velocity and angular velocity?

Back

Linear velocity (v) is related to angular velocity (ω) by the equation v = r * ω, where r is the radius of the circular path.

Front

What is the formula for calculating the number of revolutions from angular displacement?

Back

The number of revolutions (N) can be calculated using the formula N = θ / (2π), where θ is the angular displacement in radians.

Front

Define centripetal acceleration.

Back

Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion, calculated as a_c = v² / r.

Front

What is the formula for calculating the tangential acceleration?

Back

Tangential acceleration (a_t) can be calculated using the formula a_t = r * α, where r is the radius and α is the angular acceleration.