Asked Sep 28, 2019

Starting from rest, a DVD steadily accelerates to 560 rpm in 1.0s, rotates at this angular speed for 3.0s, then steadily decelerates to a halt in 2.0s. How many revolutions does it make?


Expert Answer

Step 1

Given information:

Initial angular velocity (ω0) = 0 rpm

Final angular velocity (ωf) = 560 rpm = 560 × (2π/60) = 58.64 rad/s

Time taken to reach final angular velocity (t) = 1 s

Let the angular acceleration = α1

Let no revolutions it makes while accelerating = θ1

Time for which it stays at that velocity = 3 s

Let the angular acceleration while deceleration be = α2

Time taken to come to rest from ω0 = 2 s

Step 2

From 1st equation of motion we can write:


Image Transcriptionclose

From 1st equation of motion we can write: 58.64 rad/s wf-wo 58.64 rad/s2 t 1s From 2nd equation of motion we can write: o-o2 2a101 substituting the values, we get: 01 29.32 rad

Step 3

Given that the DVD rotates at that velocity for 3 sec, the angular displacement in this time be (θ2...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Angular Motion

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: . Four long parallel power lines carry 600 A currents each. A (?)             (?)               (?)⊙...

A: Given:Current in all the four given wires, I = 600 ALength of the side of the square, a = 12 cm


Q: A map suggests that Atlanta is 730 miles in a direction 5.00° north of east from Dallas. The same ma...

A: Consider the distance between Atlanta and Dallas is D1 (730 miles), and the line segment joining the...


Q: A child loves to watch as you fill a transparent plastic bottle with shampoo (see figure below). Eve...

A: the expression to calculate the rate of change of volume is 


Q: A 68-kg man stands on a bathroom scale inside an elevator. The scale measures in units of newtons. ...

A: The expression for the reading on the bathroom scale as the elevator moves upwards is given below. H...


Q: A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is blowin...

A: Since the jet is moving only in the horizontal direction relative to air, the vertical component of ...


Q: Calculate the ratio of the resistance of 12.0 m of aluminum wire 2.1 mm in diameter, to 30.0 m of co...

A: The resistance of copper is,


Q: The upper leg muscle (quadriceps) exerts a force of 1150 N, which is carried by a tendon over the kn...

A: Given:Magnitide of force, Fo = 1150 N


Q: In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fa...

A: Write the kinematic equation, and solve for initial velocity u.


Q: A quarterback can throw a receiver a high, lazy "lob" pass or a low, quick "bullet" pass. These pass...

A: Write the expression for launch angle, and substitute 9.8m/s2 for g, 3.96s for t, and 21.3m/s for v ...