# Physics

The angular velocity of a wheel is given by w = 3t^2 + 7t.

a. What is the wheel’s initial angular velocity at t = 0?
I think this should be zero but that seems too simple?

b. What is the instantaneous angular acceleration (α) at t = 2 sec?
Do I need to take the derivative of this as a function (6t + 7) and substitute 2 for t to get instantaneous acceleration?

c. What is the wheel’s angular displacement from t = 1 sec to t = 3 sec?
I need to know w to solve for angular displacement...what should w be? I thought it was zero but that doesn't seem right

Am I on the right track here?

1. 👍 0
2. 👎 0
3. 👁 206
1. a, yes simple
b. yes correct.
c. Just integrate displacement from t=1 to 3
displacement= INT w(t) dt over limits. w(t)= 3t^2 + 7t.

1. 👍 0
2. 👎 0
2. Thank you!

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics 1 (Calc Based)

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of –0.40 rad/s^2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

asked by Jared on March 31, 2010
2. ### physics

a wheel starts from rest on application of torque which gives it an angular acceleration @=2t^2-t^2 for first two seconds after which @= 0 then find angular velocity of wheel after 4 seconds.

asked by Priya on July 29, 2017
3. ### Physics

A wheel starts rotating from rest with uniform angular acceleration.After 3.0,its completes one revolution.Calculate a) angular velocity after 3.0s. b)angular acceleration c)angular velocity after completing d)time taken for

asked by 115 on April 20, 2012
4. ### physics

A conveyer belt is driven by a large (diameter = 1.0 m) wheel. The wheel starts from rest and has an angular acceleration of 0.35 rad/s 2. (a) Through what angle does the wheel turn in 18 s? (b) What is the wheel's angular

asked by teal on January 12, 2011
5. ### physics

The balance wheel of a watch oscillates with angular amplitude 1.7π rad and period 0.64 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 1.7π/2 rad, and (c) the magnitude of

asked by kylie on January 9, 2011
1. ### Physics

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of –0.40 rad/s^2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

asked by Jared on March 31, 2010
2. ### PHYSICS

A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -3.80 rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its

asked by Steven on November 14, 2008
3. ### physics

After 10.0 s, a spinning roulette wheel at a casino has slowed down to an angular velocity of +1.74 rad/s. During this time, the wheel has an angular acceleration of -5.1 rad/s2. Determine the angular displacement of the wheel.

asked by michelle on November 18, 2010
4. ### Physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular

asked by anonymous on December 5, 2012
5. ### Physics

a) Find the angular velocity of a wheel that rotates 6 times every 4 seconds. b) What is the tangential velocity of the outside of the wheel if the radius is 15 cm?

asked by Martin on May 21, 2017
6. ### Physics

A steel bicycle wheel (without the rubber tire) is rotating freely with an angular speed of 18.00 rad/s. The temperature of the wheel changes from -100.0 to +300.0 degrees Celcius. No net external torque acts on the wheel, and the

asked by Heather on February 15, 2011