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.