Question

A disk with an initial angular velocity ω0 = 6.5 rad/s experiences a constant angular acceleration of α = 9.5 rad/s² for a time period t = 15 s. please answer the following questions. randomized variables ω0 = 6.5 rad/s α = 9.5 rad/s² t = 15 s show answer no attempt 20%. write an expression for the magnitude of the angular velocity of the disk at time t in terms of the given parameters.

Answer 1

The magnitude of the angular velocity of the disk at time t can be calculated using the formula: ω = ω0 + αt, where ω is the magnitude of the angular velocity at time t, ω0 is the initial angular velocity, α is the constant angular acceleration, and t is the time period.

Step-by-step explanation:

The magnitude of the angular velocity of the disk at time t can be calculated using the formula:

ω = ω0 + αt

where ω is the magnitude of the angular velocity at time t, ω0 is the initial angular velocity, α is the constant angular acceleration, and t is the time period.

Plugging in the given values, we have:

ω = 6.5 rad/s + (9.5 rad/s²)(15 s) = 6.5 rad/s + 142.5 rad/s = 149 rad/s