Question

A wheel turns with a constant angular acceleration of 0.650 rad/s2. How much time does it take to reach an angular velocity of 7.50 rad/s , starting from rest?

Answer 1

It takes approximately 11.54 seconds for the wheel to reach an angular velocity of 7.50 rad/s, starting from rest.

Step-by-step explanation:

To find the time it takes for the wheel to reach an angular velocity of 7.50 rad/s, starting from rest, we can use the equation:

ω = ω0 + αt

Where:

• ω is the final angular velocity (7.50 rad/s)
• ω0 is the initial angular velocity (0 rad/s)
• α is the angular acceleration (0.650 rad/s2)
• t is the time

Plugging these values into the equation, we have:

7.50 rad/s = 0 rad/s + (0.650 rad/s2)t

Simplifying the equation for t, we get:

t = 7.50 rad/s / 0.650 rad/s2 = 11.54 s

Therefore, it takes approximately 11.54 seconds for the wheel to reach an angular velocity of 7.50 rad/s, starting from rest.