Question

Calculate the angular displacement of a ferris wheel, rotating initially at an angular speed of 0.800 rad/s, then accelerates over a 9.5-s interval at a rate of 0.090 0 rad/s2. What is the angular displacement?

Answer 1

To calculate the angular displacement of the ferris wheel, use the formula θ = ωi * t + (1/2) * α * t^2, where θ is the angular displacement, ωi is the initial angular velocity, t is the time interval, and α is the angular acceleration. Plug in the given values to calculate the angular displacement.

Step-by-step explanation:

In order to calculate the angular displacement of the ferris wheel, we can use the formula:

θ = ωi * t + (1/2) * α * t^2

Where:

• θ is the angular displacement
• ωi is the initial angular velocity
• t is the time interval
• α is the angular acceleration

Plugging in the given values, we have:

θ = (0.800 rad/s)(9.5 s) + (1/2)(0.0900 rad/s^2)(9.5 s)^2

Solving this equation will give us the angular displacement of the ferris wheel.