Question

A circular cycle track has a circumference of 314 metres with ab as one of its diameter a cyclist travels from A to B along a circular path find the distance moved by the cyclist and displacement if ab is alone the east west direction.

Answer 1

hope it will help you

Answer 2

Distance moved by the cyclist is 157 meter

Displacement is 100 meter if ab is alone the east west direction

Solution:

A circular cycle track has a circumference of 314 metres

circumference = 314 meter

$2 \pi r = 314\\\\r = 314 \times \frac{1}{2} \times \frac{7}{22}\\\\r = 50$

AB as one of its diameter a cyclist travels from A to B along a circular path

Distance moved by the cyclist = half of circumference

Therefore,

circumference = 314 meter

$\text{Distance moved by the cyclist } = \frac{1}{2} \times 314 = 157$

Find the displacement

displacement = 2 ( radius )

displacement = 2 ( 50) = 100

Thus displacement is 100 meter if ab is alone the east west direction

Learn more:

A circular cycle track has a circumference of 314 m with AB as one its diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude of 15.7 m/s . Find

1)The distance moved by the cyclist.

2)the displacement of the cyclist if AB represents N-S direction

3) the average velocity of the cyclist.

https://brainly.in/question/10479594

A circular race course track has a radius of

500 m and is banked to 10°. If the coefficient of

friction between tyres of vehicle and the road

surface is 0.25. Compute :

(a) the maximum speed to avoid slipping.

(b) the optimum speed to avoid wear and tear

of tyres. (g = 9.8 m/s)

(Ans : 46.70 m/s, 29.39 m/s)

https://brainly.in/question/10509052