Ask Question
11 December, 05:39

A turntable must spin at 33.4 rpm (3.50 rad/s) to play an old-fashioned vinyl record. how much torque must the motor deliver if the turntable is to reach its final angular speed in 1.0 revolutions, starting from rest? the turntable is a uniform disk of diameter 30.5 cm and mass 0.21 kg.

+3
Answers (1)
  1. 11 December, 05:43
    0
    In order to compute the torque required, we may apply Newton's second law for circular motion:

    Torque = moment of inertia * angular acceleration

    For this, we require the angular acceleration, α. We may calculate this using:

    α = Δω/Δt

    The time taken to achieve rotational speed may be calculated using:

    time = 1 revolution * 2π radians per revolution / 3.5 radians per second

    time = 1.80 seconds

    α = (3.5 - 0) / 1.8

    α = 1.94 rad/s²

    The moment of inertia of a thin disc is given by:

    I = MR²/2

    I = (0.21*0.1525²) / 2

    I = 0.002

    τ = 1.94 * 0.002

    τ = 0.004

    The torque is 0.004
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A turntable must spin at 33.4 rpm (3.50 rad/s) to play an old-fashioned vinyl record. how much torque must the motor deliver if the ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers