Question

Assume the point below moved clockwise from position a on the left to position b on the right along a circular path

A. In which direction did the point below move from position a to position b along the circular path?
B. What is the angular displacement in degrees?
C. If the circular path has a radius of 5 meters, calculate the arc length covered.
D. What is the linear speed of the point if the movement took 20 seconds?

Answer 1

The point moved clockwise along the circular path. The angular displacement can be found using a formula, and the arc length can be calculated using the radius. The linear speed can be determined by dividing the arc length by the time taken.

Step-by-step explanation:

The point moved clockwise from position a to position b along the circular path.

To find the angular displacement in degrees, we can use the formula:

angular displacement = (arc length/radius) * (180/π)

Given that the radius is 5 meters and the arc length covered is unknown, we can find the arc length by rearranging the formula:

arc length = (angular displacement * radius) * (π/180)

The linear speed of the point can be calculated using the formula:

linear speed = arc length / time taken

Given that the time taken is 20 seconds, we can substitute the values into the formula to find the linear speed.