Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.25 rad/s2. Assume the angular speed of the wheel is 1.55 rad/s at t = 0. (a) Through what angle does the wheel rotate between = 0 and = 2.00 s? Give your answer in radians and revolutions. 9.6 rad 1.53 rev (b) What is the angular speed of the wheel at r = 2.00 s? 8.05 rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 4.76 rev EXERCISE Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between = 2.00 s and = 3.50 s. 15.7 ✔rad HINTS: GETTING STARTED I'M STUCK! (b) Find the angular speed when = 3.50 s. 12.93 ✔rad/s (c) What is the magnitude of the angular speed five revolutions following = 3.50 s? 18.18 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. rad/s

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Question: what is the magnitude of the angular speed five revolutions following t=3.50s?

PRACTICE IT
Use the worked example above to help you solve this problem. A wheel rotates with a constant angular
acceleration of 3.25 rad/s2. Assume the angular speed of the wheel is 1.55 rad/s at = 0.
(a) Through what angle does the wheel rotate between 1 = 0 and = 2.00 s? Give your answer in
radians and revolutions.
9.6
rad
1.53
rev
(b) What is the angular speed of the wheel at t = 2.00 s?
8.05
✔rad/s
(c) What angular displacement (in revolutions) results while the angular speed found in part (b)
doubles?
4.76
rev
EXERCISE
Use the values from PRACTICE IT to help you work this exercise.
(a) Find the angle through which the wheel rotates between = 2.00 s and t = 3.50 s.
15.7
rad
(b) Find the angular speed when t = 3.50 s.
12.93
✔rad/s
HINTS: GETTING STARTED I I'M STUCK!
(c) What is the magnitude of the angular speed five revolutions following + = 3.50 s?
18.18
Your response is within 10% of the correct value. This may be due to roundoff error, or you could
have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy
to minimize roundoff error. rad/s
Need Help?
Read It
Transcribed Image Text:PRACTICE IT Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.25 rad/s2. Assume the angular speed of the wheel is 1.55 rad/s at = 0. (a) Through what angle does the wheel rotate between 1 = 0 and = 2.00 s? Give your answer in radians and revolutions. 9.6 rad 1.53 rev (b) What is the angular speed of the wheel at t = 2.00 s? 8.05 ✔rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 4.76 rev EXERCISE Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between = 2.00 s and t = 3.50 s. 15.7 rad (b) Find the angular speed when t = 3.50 s. 12.93 ✔rad/s HINTS: GETTING STARTED I I'M STUCK! (c) What is the magnitude of the angular speed five revolutions following + = 3.50 s? 18.18 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. rad/s Need Help? Read It
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