Question

An object moves along a circular path with a radius of 10 inches and makes 5 revolutions in 1 minute. What is the linear velocity, in inches per minute, of a point on the edge of the wheel?

a) 10
b) 0207
c) 50
d) 10071

Answer 1

The linear velocity of a point on the edge of the wheel is 100.71 inches per minute.

So. the correct answer is D.

Step-by-step explanation:

To find the linear velocity (V) of a point on the edge of the wheel, we use the formula V = 2πrN, where r is the radius and N is the number of revolutions per unit time. In this case, the radius (r) is given as 10 inches, and the number of revolutions (N) is 5 in 1 minute.

Substituting these values into the formula, we get V = 2π * 10 * 5 = 100π, which is approximately 100.71 inches per minute.

The linear velocity is determined by the distance traveled along the circumference of the circle in a given time. As the object makes five revolutions in one minute, the point on the edge covers a greater distance, resulting in a higher linear velocity.

Circular motion and linear velocity are fundamental concepts in physics. Understanding the relationship between the radius, number of revolutions, and linear velocity provides insights into the motion of objects in circular paths.

Further exploration of these principles can deepen ones comprehension of rotational dynamics and their applications.

So. the correct answer is D.