4) What is the relationship of the angular position verses time graph? What is t

Question

4) What is the relationship of the angular position verses time graph? What is the relationship of the angular velocity verse time graph? What connection can you ma with a subject previous covered in Physics 1401? A car tire with a radius of 0.3m has a delta theta of 3.14 in 3s. what is the angular velocity and angular acceleration of the tire? In a linear sense how far did the car travel? 6) A centrifuge has an angular velocity of 14,000 RPMs, what is the angular position after 1.5 seconds starting at theta=0. What is the angular acceleration of the centrifuge at the same time?

Explanation / Answer

4) This question is incomplete

5) angular velocity, w = delta theta/ time = 3.14/3 = 1.0467 per second

linear acceleration = rw^2 = 0.3*(1.0467)^2 = 0.32867 per second^2

angular acceleration is zero as the angular velocity is constant( due to lack of data)

Distance travelled = v*t =r*w*t = 0.3*1.0467*3 = 0.942 m

6) angular velocity, w = 14000 * 2pi*/60 = 1466.08 per second

Assuming constant angular velocity, angular position after 1.5 seconds = 1466.08*1.5 radians = 2200 radians

Angular position is obtained by removing the multiples of 2pi which have been traversed already.

=1.41 radians = 81 degrees.

Angular acceleration is zero as the angular velocity has been assumed to be constant due to lack of data.

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