The figure below shows the angular displacement of an object as a function of ti

Question

The figure below shows the angular displacement of an object as a function of time. (t1 = 0.5, t2 = 1, ?1 = 100, ?2 = 200, ?3 = 300, ?4 = 400)

A)What is the approximate angular velocity of the object at t = 0?

B)What is the approximate angular velocity at t = 0.5 s?

C)Estimate the angular acceleration at t = 0.25 s.

The figure below shows the angular displacement of an object as a function of time. (t1 = 0.5, t2 = 1, ?1 = 100, ?2 = 200, ?3 = 300, ?4 = 400) What is the approximate angular velocity of the object at t = 0? What is the approximate angular velocity at t = 0.5 s? Estimate the angular acceleration at t = 0.25 s.

Explanation / Answer

Let y=theta

let the equation be y=mt^2

at t=.5 y=150

at t=0.7 y=300

m=150

y=150t^2

1, angular velocity at (0,0) = 0

2, angular velocity at (0.5,150) = 2*m*t =2*150*.5 =150

3, through out angular accelaration is constant = 300

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