Question

A car starts from rest on a circular track with a radius of 150 m. Relative to the starting position, what angle has the car swept out when it has traveled 150 m along the circular track?

Answer 1

The angle swept out by a car traveling 150 m along a circular track with a radius of 150 m is 1 radian or approximately 57.3 degrees.

Step-by-step explanation:

When a car travels 150 m along a circular track with a radius of 150 m from a resting position, we can determine the angle swept out by relating the arc length traveled to the circumference of the circular path. The formula for determining the angle (θ) in radians is θ = s/r, where s is the arc length and r is the radius of the circle. In this case, s = r, therefore the angle θ is 1 radian. Since there are (approximately) 57.3 degrees in one radian, the angle in degrees would be about 57.3°.