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Gnom [1K]
2 years ago
15

A disk, initially rotating at 120 rpm, is slowed down with a constant acceleration of magnitude 4 rad s2. If the disk has diamet

er of 20 cm. Determine the time does the disk take to stop i. ii the angle does the disk rotate during that time iii. the total angular distance rotated by a disk
Physics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

Explanation:

given,

ω₁ = 120 rpm

        1 rpm = \dfrac{2\pi }{60} rad/s

         \omega_1 =120\times \dfrac{2\pi }{60} rad/s

                          = 12.56 rad/s

α = - 4 rad/s²

diameter of disk = 20 cm

final angular velocity = 0

t = \dfrac{\omega_f-\omega_i}{\alpha}

t = \dfrac{0-(12.56)}{-4}

t = 3.14 s.

2) \theta = \omega_i t +\dfrac{1}{2} \alpha t^2

              =  12.56\times 3.14 +\dfrac{1}{2}\times (-4)\times 3.14^2

              = 19. 72 radians

3) total angular distance rotated

x = θ R

x = 19.72 × 0.1 = 1.97 m

x = 2 m

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