Knowee
Questions
Features
Study Tools

An object travels in a circular path of radius r at a constant speed v. What happens to the object’s acceleration if the radius of the circle is doubled and the speed stays unchanged? A. It doubles B. It quadruples C. It is cut to a half

Question

An object travels in a circular path of radius r at a constant speed v. What happens to the object’s acceleration if the radius of the circle is doubled and the speed stays unchanged? A. It doubles B. It quadruples C. It is cut to a half

🧐 Not the exact question you are looking for?Go ask a question

Solution

The acceleration of an object moving in a circular path is given by the formula a = v^2 / r, where v is the speed and r is the radius of the circle. If the radius is doubled and the speed remains unchanged, the new acceleration a' = v^2 / 2r.

Comparing the new acceleration a' with the original acceleration a, we see that a' = a / 2. Therefore, the acceleration is cut to a half when the radius of the circle is doubled and the speed stays unchanged. So, the correct answer is C. It is cut to a half.

This problem has been solved

Similar Questions

e. As the radius of the circle is doubled, the acceleration is __________________ (one-fourth, one-half, two times, four times) the original value.

How does the radius of an object moving in a circular path relate to its acceleration?  If the radius  increases, what happens to the acceleration?

n object of mass m moves at a constant speed v around a circular path of radius r. The net force applied on the object is F. What happens to the net force if speed is doubled and radius is quadrupled? A. It doubles B. It quadruples C. Stays the same D. It is cut to one-half E. It is cut to one-quarter

How does the speed of an object moving in a circular path relate to its acceleration?  If the speed increases, what happens to the acceleration?

c. As the speed of an object is doubled, the acceleration is __________________ (one-fourth, one-half, two times, four times) the original value.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.