Question

in 5 seconds a carnival ride having a radius of 12 meters travels 180 degrees what is the distance in meters traveled

Answer 1

Based on the data provided, the distance travelled is 37.68 m.

What is the distance travelled in meters?

First we calculate the angular velocity:

• angular velocity = angle turned/ time taken

angle turned = 180 degrees = πradians

angular velocity =  πradians/5

angular velocity = 0.628 rad/s

Linear speed = radius * angular velocity

Linear speed = 12 * 0.628

Linear speed = 7.536 m/s

Then:

• Distance travelled = linear speed * time

Distance travelled = 7.536 * 5

Distance travelled = 37.68 m

Therefore, the distance travelled is 37.68 m.

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