Question

acyclist rides abicycle with awheel radius 0.50m across acampus if the wheel complete 320 rotations between her apartment and the cafeteria. how far has she traveled​

Answer 1

Answer:

Here we need to calculate the Distance the cyclist travels.

We are given acyclist rides abicycle with a wheel radius 0.50m across acampus. To calculate the distance covered in 320 rotations, First we need to calculate the distance covered in 1 Rotation. The distance covered in 1 Rotation is equal to the circumference.

Circumference of the circle can be calculated by,

• Circumference = 2πr

Here, r is radius

• Circumference = 2 × 3.14 × 0.50
• Circumference = 3.14 m

So the distance covered in one rotation is 3.14 m

Distance covered in 320 rotations :

• Distance covered = circumference × 320
• Distance covered = 3.14 × 320
• Distance covered = 1004.8 m

Hence, The distance travelled by the cyclist in 320 rotations is 1004.8 metres.