Question

3. The angle through which a disk drive turns is given by ?(t) = a + bt - ct³, where, a, b, and c are constants, t is measured in seconds, and ? is in radians. When t = 0, ? = ?/4 rad and the angular velocity is 2.00 rad/s. When t = 1.50 s, the angular acceleration is 1.25 rad/s². (a) Find a, b, and c, including their units. (b) What is the angular acceleration when ? = ?/4 rad? (c) What are the angular displacement and the angular velocity when the angular acceleration is 3.50 rad/s²

Name: 3. The angle through which a disk drive turns is given by ?(t) = a + bt - ct³, where, a, b, and c are constants, t is measured in seconds, and ? is in radians. When t = 0, ? = ?/4 rad and the angular velocity is 2.00 rad/s. When t = 1.50 s, the angular acceleration is 1.25 rad/s². (a) Find a, b, and c, including their units. (b) What is the angular acceleration when ? = ?/4 rad? (c) What are the angular displacement and the angular velocity when the angular acceleration is 3.50 rad/s²
Uploaded: 2022-05-14T12:23:01-08:00
Duration: 5 min 27 s
Channel: Rahul Kumar

          3. The angle through which a disk drive turns is given by ?(t) = a + bt - ct³, where, a, b, and c are constants, t is measured in seconds, and ? is in radians. When t = 0, ? = ?/4 rad and the angular velocity is 2.00 rad/s. When t = 1.50 s, the angular acceleration is 1.25 rad/s². (a) Find a, b, and c, including their units. (b) What is the angular acceleration when ? = ?/4 rad? (c) What are the angular displacement and the angular velocity when the angular acceleration is 3.50 rad/s²

3. The angle through which a disk drive turns is given by ?(t) = a + bt - ct³, where, a, b, and c are constants, t is measured in seconds, and ? is in radians. When t = 0, ? = ?/4 rad and the angular velocity is 2.00 rad/s. When t = 1.50 s, the angular acceleration is 1.25 rad/s². (a) Find a, b, and c, including their units. (b) What is the angular acceleration when ? = ?/4 rad? (c) What are the angular displacement and the angular velocity when the angular acceleration is 3.50 rad/s²

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University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rahul Kumar

05/14/2022

Step 1

Given: θ(0) = π/4 rad, ω(0) = 2.00 rad/s, α(1.5) = 1.25 rad/s^2. The first derivative of θ(t), θ'(t), gives the angular velocity ω(t). θ'(t) = b - 3ct^2. Initially, θ'(0) = 2.00 rad/s, so b = 2.00 rad/s. Given θ(0) = π/4, a + b(0) - c(0)^3 = π/4, so a = π/4. The Show more…

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3. The angle through which a disk drive turns is given by θ(t) = a + bt - ct³, where, a, b, and c are constants, t is measured in seconds, and θ is in radians. When t = 0, θ = π/4 rad and the angular velocity is 2.00 rad/s. When t = 1.50 s, the angular acceleration is 1.25 rad/s². (a) Find a, b, and c, including their units. (b) What is the angular acceleration when θ = π/4 rad? (c) What are the angular displacement and the angular velocity when the angular acceleration is 3.50 rad/s²