PhysicsLAB: Practice: Uniform Circular Motion

Worksheet
Practice: Uniform Circular Motion

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These problems will allow you to practice your knowledge of situations involving uniform circular motion. Each situation begins with a set of givens and is followed by a series of questions. Make sure that your first submissions are, as always, as accurate as possible.

Refer to the following information for the next six questions.

A coin of mass 25 grams is placed 20 cm from the center on a rotating turntable. The coin does not slip while the platform rotates at a constant angular speed of 40 rpm.

What is the magnitude of the coin's linear velocity in m/sec?

Which of the following answer correctly illustrates the direction of the coin's linear velocity at the instant it is at the position shown in the diagram above?

What would be the magnitude of the acceleration experienced by the coin?

Which of the following answer correctly illustrates the direction of the coin's acceleration at the instant it is at the position shown in the diagram above?

If the coefficient of static friction between the coin and the surface is 0.65, what would the greatest rotational speed the turntable could acquire and still have the coin stay in place?

If the first coin were to be replaced with a larger coin made of the same material, which of the following statements is true?

the larger coin will fly off at a tangent
the larger coin will remain at rest as well
the larger coin will fly off along the radius
the larger coin will spiral in towards the center of the turntable

Refer to the following information for the next five questions.

You have completed a lab using a conical pendulum whose length was 75 cm.

During the lab you collected the following data:

mass of whirled rubber ball = 25 grams

40-second trial #1: 50 rev

40-second trial #2: 52 rev

40-second trial #3: 51 rev

mass of suspended washers = 60 grams

A freebody diagram of the rubber ball will show what two forces acting on the ball?

During the experiment, the suspended washers supplied the tension. Using the fact that mg = T cos θ, at what angle was the ball being twirled?

What was the average frequency for your trials?

Using the fact that the actual twirling radius was r = L sin θ, what was the magnitude of the rubber ball's average velocity during your trials?

If another series of trials, with the same rubber ball and washers, had been performed but with a shorter radius would you anticipate the tangential velocity of the ball would increase or decease?

Refer to the following information for the next four questions.

A 400 meter radius curve is banked at 12º.

What would be the two forces acting on a car that is traveling through this banked curve at its critical velocity?

What force is supplying the centripetal force to keep the car moving in its circular path?

What is the critical velocity of a car traveling through this curve?

If a car were to travel at this same speed through a regular flat curve having this same radius, how large would the coefficient of friction need to be to maintain its contact with the road surface?

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Review:	REV - Review: Circular Motion and Universal Gravitation
Worksheet:	APP - Big Al APP - Ring Around the Collar APP - The Baton Twirler APP - The Satellite APP - The See-Saw Scene APP - The Spring Phling APP - Timex CP - Center of Gravity CP - Centripetal Acceleration CP - Centripetal Force CP - Satellites: Circular and Elliptical CP - Torque Beams CP - Torque: Cams and Spools NT - Center of Gravity NT - Center of Gravity vs Torque NT - Circular Orbits NT - Falling Sticks NT - Pendulum NT - Rolling Cans NT - Rolling Spool NT - Rotating Disk NT - Spiral Tube WS - Basic Practice with Springs WS - Inertial Mass Lab Review Questions WS - Introduction to Springs WS - Kepler's Laws: Worksheet #1 WS - Kepler's Laws: Worksheet #2 WS - Moment Arms WS - Moments of Inertia and Angular Momentum WS - More Practice with SHM Equations WS - Pendulum Lab Review WS - Pendulum Lab Review WS - Practice: SHM Equations WS - Practice: Vertical Circular Motion WS - Rotational Kinetic Energy WS - SHM Properties WS - Static Springs: The Basics WS - Torque: Rotational Equilibrium Problems WS - Universal Gravitation and Satellites WS - Vertical Circular Motion #1 TB - Basic Torque Problems TB - Center of Mass (Discrete Collections) TB - Centripetal Acceleration TB - Centripetal Force TB - Moment of Inertia (Discrete Collections) TB - Rotational Kinematics TB - Rotational Kinematics #2