In order to stop a Ferris wheel, a force is applied that accelerates at a rate of -0.010rad/s^2. How long will it take the Ferris wheel to stop?
To find the time it takes for the Ferris wheel to stop, we can use the equation of motion:
ω = ω₀ + θ₀t + (1/2)αt²
Where:
- ω is the final angular velocity (which is zero in this case since the Ferris wheel stops)
- ω₀ is the initial angular velocity of the Ferris wheel
- θ₀ is the initial angular position of the Ferris wheel (which is assumed to be zero in this case)
- α is the angular acceleration
- t is the time in seconds
Given:
- α = -0.010 rad/s² (negative sign indicates deceleration)
- ω₀ = initial angular velocity of the Ferris wheel is not given
Since the initial angular velocity is not given, we need more information to solve the problem. Please provide the value of the initial angular velocity, and I'll be happy to help you calculate the time it takes for the Ferris wheel to stop.