How to Calculate Angular Velocity in Physics

What is the final angular velocity of the carnival ride?

The final angular velocity of the carnival ride is determined as 5.02 rad/s. What is the final angular velocity of the carnival ride?

Answer:

The final angular velocity of the carnival ride is 5 rad/s.

Angular velocity is a fundamental concept in physics that describes the rate of change of angular position of a rotating object. In this scenario, we are calculating the final angular velocity of a carnival ride that starts at rest and accelerates to an angle of 6.3 radians.

The final angular velocity can be calculated using the kinematic equation:

ωf² = ωi² + 2αθ

Where:

• ωf is the final angular velocity
• ωi is the initial angular velocity (which is 0 in this case)
• α is the angular acceleration (2 rad/s²)
• θ is the angular distance (6.3 rad)

Substitute the given values into the equation:

ωf² = 0 + 2(2)(6.3)

ωf = √ (2 x 2 x 6.3)

ωf = 5.02 rad/s

Therefore, the final angular velocity of the carnival ride is 5 rad/s.