A graph for angle (radians) vs. time (seconds) for a turntable with a 0.25 radiu

Question

A graph for angle (radians) vs. time (seconds) for a turntable with a 0.25 radius is shown below. a.) Describe what the turntable is doing during the times shown. b.) Estimate how fast the turntable is rotating at t=0. c.) Draw an angular velocity vs. time graph that matches this. d.) Determine the angular acceleration.

* I couldn't upload the graph, but these are the points: at 1 rad, 0 sec; at 2.5 rad, 1 sec; at 2.75, 2 sec; 1.5 rad, 3 sec; -0.5 rad, 4 sec; -4 rad, 5 sec-(it sort of curves down..)

*I NEED THE GRAPH AND WORK SHOWN PLEASE PLEASE :)

Explanation / Answer

a)here turntable is rotating circularly with positive and negative accelration

b)at t=0 turn table is having angular displacement 1 radian.so in order to determine the velocity of turn table theta=angularvelocityxtime.at t=o there is no velocity

c)in the given question angular displacement and time is nonlinear curve.it consist of increase and decrease quantities.inorder to obtain smooth curve differentiate given curve.we will get the velocity vs time graph

d)to find out angular accelration theta=0.5xaxtxt theta indicates the angular displacement.0.66,1.375.-0.0625,-0.32 at given time intervals

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