A cyclist completes half round of a circular track of radius 318 m in 1.5 minutes. Find it's speed and velocity
Answers
Answer:
Explanation :
The speed question is the easiest, so let’s start there. All you need to do is get the circumference (318 * 2π), divide it by 2 (okay so just 318π) and then divide that by 90 seconds. There’s your speed, about 11 m/s. Well… there’s your average speed, but if we assume that you are not accelerating linearly as you go around the track, we can say that your average speed and your instantaneous speed are, in fact, equal. Cool.
As to your velocity
Radius of the circular track is 318 m
The time elapsed in the journey is 1.5 min or 90 s
The distance traveled by the cyclist is semi circumference of the circle = πr
The displacement of the cyclist will be shortest distance from his initial to final positions which is nothing but diameter of the circle = 2r
We know that
Speed = Distance covered / Time taken
= 318 *3.14 m/90s = 11 m/s
Speed of the cyclist is 11 m/s
Velocity = Displacement / Time
= 2*318 m /90 s = 7 m/s
Velocity of the cyclist is 7 m/s
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Answer: 1st Question answer is 11 m/s²
2nd Question answer is 7 m/s²