Question

You are riding your bike on a track that forms a vertical circular loop as the diameter of the loop is 10.0,how fast will you have to be traveling when you reached the top of the loop so that you would not fall

Answer 1

To not fall off a vertical circular loop, you need to have a minimum speed at the top of the loop. This speed is determined by the radius of the loop and the gravitational acceleration.

Step-by-step explanation:

In order to not fall off the vertical circular loop, you need to have a minimum speed at the top of the loop. This minimum speed is determined by two factors: the radius of the loop and the gravitational acceleration. The formula to calculate this minimum speed is:

Minimum speed = √(radius × g)

where radius is the radius of the loop and g is the acceleration due to gravity, approximately 9.8 m/s².

For example, if the radius of the loop is 10.0 m, the minimum speed required to not fall off the loop would be:

Minimum speed = √(10.0 m × 9.8 m/s²) = 14 m/s

To prevent falling off a vertical circular loop, a minimum speed is crucial, determined by the loop's radius and gravitational acceleration (g). The formula, Minimum speed = √(radius × g), incorporates these factors. For instance, with a 10.0 m radius, the minimum speed required is √(10.0 m × 9.8 m/s²) = 14 m/s.

This formula ensures the safety and stability of an object moving in a vertical loop by considering gravitational forces and loop geometry.