Question

A turntable is off and is not spinning. A 0.8 g ant is on the disc and is 9 cm away from the center. The turntable is turned on and 0.8 s later it has an angular speed of 45 rpm. Assume the angular acceleration is constant and determine the quantities for the ant 0.4 s after the turntable has been turned on. Express all quantities using appropriate mks units.

Answer 1

I] alpha = wf/t = (45*2pi/60)/1 = 4.712 rad/s

ii] W = alpha*t = 2.356 rad/s

iii] v = Wr =2.356*0.10 = 0.2356 m/s

iv] atan = alpha*r = 0.4712 m/s^2

v] arad= v^2/r = 0.2356^2/0.10 = 0.555 m/s^2

vi] a = sqrt(0.4712^2+0.555^2) = 0.728 m/s^2

vii] Fnet = ma = 1.6e-3*0.728 = 0.00116 N

Step-by-step explanation: