Question

In: Physics

1. What is a given= 0.215 [ms^-2] and diameter of disk with uniform mass distribution= 19.5...

1. What is a given= 0.215 [ms^-2] and diameter of disk with uniform mass distribution= 19.5 [cm].

theta= ?

2. Using information found in previous question, if the dropping mass is 195 [g], then what is T?

T= ? [Nm]

Solutions

Expert Solution

(a)

       The acceleration is   a   =   0.215 m /s2

        The radius of the disk is,

                      r = diameter / 2

                         = 19.5 cm /2

                         = 0.0975 m

Hence, the angular acceleration is,

                              ?    =   a / r

                                     = 0.215 m/s2/ 0.0975 m

                                     = 2.205 rad/s2

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(b)

The required tension can be calculated as,

              T = m a

                 = 0.195 kg * 2.205 rad/s2

                 = 0.4299 N.m

                 = 0.43 N.m


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