physics

A wheel, starting from rest, has a constant angular acceleration of 1.3 rad/s2. In a 2.5-s interval, it turns through an angle of 98 rad. How long has the wheel been in motion at the start of this 2.5-s interval?

  1. 👍
  2. 👎
  3. 👁
  1. W = Wo + a t
    T = To + Wo t + (1/2) a t^2
    same old equations but now T is theta, the angle, W is angular velocity, and a is angular acceleration
    so
    Here To is zero, initial angle, Wo = 0, initial speed
    T = .65 t^2 at start of interval
    98 + T = .65 (t+2.5)^2
    subtract the first from the second
    98 = (.65)(5 t+6.25)
    98 = 3.25 t + 4.06
    t = 28.9 seconds
    Check my arithmetic!!!
    W = Wo + a T

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

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?

  2. physics

    A 4.50-kg wheel that is 34.5 cm in diameter rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s. What is the magnitude of the angular acceleration of the wheel? A) 0.616 rad/s 2 B) 22.5

  3. physics

    A wheel starts from rest and rotates with constant angular acceleration and reaches an angular speed of 12.0 rad/s in 3.00 s. Find the angle (in radians) throuh which it rotates in this time.

  4. Physics

    Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 6.00 s, it rotates 28.0 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular

  1. physics

    As a result of friction, the angular speed of a wheel changes with time according to d(theta)/dt = w0 e^-(aplpha*t) where w0 and alpha are constants. The angular speed changes from an initial angular speed of 4.87 rad/s to 4.27

  2. Physics

    A potter’s wheel moves from rest to an angular speed of 0.30 rev/s in 25.8 s. Assuming constant angular acceleration, what is its angular acceleration in rad/s2 ? Answer in units of rad/s^2

  3. Physics

    A spinning wheel is slowed down by a brake, giving it a constant angular acceleration of −4.60 rad/s2. During a 2.60-s time interval, the wheel rotates through 85.4 rad. What is the angular speed of the wheel at the end of the

  4. 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

  1. Physics!

    A wheel rotates with a constant angular acceleration of 3.50 rad/s2. The angular speed of the wheel is 2.00 rad/s at t = 0. If the radius of the wheel is doubled, Are the following statements affected? If so, in what way? (Select

  2. 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?

  3. physics

    After 10.0 s, a spinning roulette wheel at a casino has slowed down to an angular velocity of +1.56 rad/s. During this time, the wheel has an angular acceleration of -5.45 rad/s2. Determine the angular displacement of the wheel.

  4. Physics

    At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0.37 rad/s2 has an angular velocity of 0.5 rad/s and an angular position of 8.5 rad. What is the angular position of the wheel after 2 s? Answer

You can view more similar questions or ask a new question.