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larisa86 [58]
3 years ago
13

As you finish listening to your favorite compact disc (CD), the CD in the player slows down to a stop. Assume that the CD spins

down with a constant angular acceleration. A) If the CD rotates clockwise (let's take clockwise rotation as positive) at 500rpm (revolutions per minute) while the last song is playing, and then spins down to zero angular speed in 2.60s with constant angular acceleration, what is alpha_vec, the angular acceleration of the CD, as it spins to a stop? B)How many revolutions does the CD make as it spins to a stop?
Physics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

A. w=8.3rev/s

a_v=3.21rev/s^2

B. rev=10.79rev

Explanation:

A.

500rpm

500rpm*\frac{1minute}{60seg}=8.33\frac{rev}{s}

the time is about 2.60s knowing the acceleration is:

a_v=\frac{w}{t}

so:

w=8.3rev/s

a_v=\frac{8.33 rev/s}{2.60s}=3.21rev/s^2

B.

The CD stop so the final velocity is vf=0 so:

Total revolutions:

8.3rev/s*2.60s=21.58rev

21.58rev/2=10.79 rev

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Explanation:

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Therefore,

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Initial Momentum  = 7200 Ns   .........(1)

final momentum = m₁v₁ + m₂v₂

where,

v₁ = v₂ = final speed of car+van (both locked ) = 7.2 m/s

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on comparing (1) and (2)

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