Centripetal Acceleration Worksheet
Grade 12 Physics worksheet covering centripetal acceleration, centripetal force, and related concepts.
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Centripetal Acceleration Worksheet
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Read each question carefully and provide detailed answers. Show all your work for calculations.
1. Which of the following best describes centripetal acceleration?
Acceleration directed away from the center of a circular path.
Acceleration directed along the tangent to a circular path.
Acceleration directed towards the center of a circular path.
Acceleration that is always zero in uniform circular motion.
2. The magnitude of centripetal acceleration is given by the formula:
a_c = v/r
a_c = v^2/r
a_c = r/v
a_c = r^2/v
3. For an object to move in a circular path, a net force, called the , must act on it.
4. The direction of the velocity vector in uniform circular motion is always to the circular path.
5. If the speed of an object in uniform circular motion doubles, its centripetal acceleration will be times greater.
6. A 0.5 kg ball is swung in a horizontal circle of radius 1.2 m at a speed of 3.0 m/s. Calculate the centripetal acceleration of the ball. Show all steps.
7. Explain the relationship between centripetal force and centripetal acceleration. How are they related by Newton's Second Law?
8. In uniform circular motion, the speed of the object is constant, but its velocity is not.
True
False
9. Centripetal force does work on an object in uniform circular motion.
True
False
10. A car travels around a circular track with a radius of 50.0 m. If the coefficient of static friction between the tires and the road is 0.75, what is the maximum speed the car can travel without skidding?
11. An object of mass 'm' is attached to a string of length 'L' and swung in a vertical circle. At the bottom of the circle, the tension in the string is 3mg. What is the speed of the object at this point?