Question

A circular cycle track has a circumference of 314 m with AB as the diameter. A cyclist

travels from A to B along the circular path with a constant velocity of magnitude

15.7 m/s. Find the time taken.
plz help me its urgent ​

Answer 1

Answer:

6 seconds (approx)

hope it helps

Answer 2

Answer:

10 seconds

Explanation:

Given:

Circumference of the circle = 314 metres

The person travels from A to B around circular track (The semi circular path)

Velocity in semi circular path = 15.7 m/s

To find:

Time taken for travelling from A to B along the circular path

We know that:

Circumference of the circle = 314m = $2\pi r$

$2 \times 3.14 \times r = 314$

$6.28r = 314$

$r = \frac{314}{6.28}$

$r=50 \ metres$

The person travels from A to B in circular path so the person will travel a distance of $\frac{circumference}{2}$

Distance travelled by the person = 157 metres

Time = $\frac{Distance}{Speed}$

Time = $\frac{157}{15.7}$

Time = 10 seconds

The time taken is equal to 10 seconds