Question

Two particls A and B move at a constant speed in circular paths at the same...

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is nine times the length of particle B's circle. what is the ratio Ta/Tb of their periods?

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is five times the length of particle B's circle. what is the ratio Va/Vb of their translational speeds?

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is length of particle B's circle. what is the ratio aA/aB of (the magnitude of) their centripetal accelerations?

Homework Answers

Answer #1

(a) The time period of two particles can be given as

Also, they have same angular velocity hence

Now taking the ratio of Time period

(b) GIven that they have same angular speed hence

(c) Given that, with same angular speed

Now centripetal acceleration will be

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two particles are moving in the xy-plane. They move along straight lines at a constant speed....
Two particles are moving in the xy-plane. They move along straight lines at a constant speed. At time t, particle A's position is given by x = t + 4, y = 1/2t-7 and particle B's position is given by x = 18 − 2t, y = 5 − 1/3t. Find the time (i.e., the value of t) at which the distance between A and B is minimal.
True or False? ( ) A charge with a velocity perpendicular to a uniform B field...
True or False? ( ) A charge with a velocity perpendicular to a uniform B field will move in a circular path in a plane perpendicular to the B field. ( ) A charge with a velocity perpendicular to a uniform B field will experience a magnetic force of F=qvB ( ) For a mass m to maintain a circular motion on an orbit of radius r, the needed centripetal force is mv/r. ( ) For a mass m to...
Question 1 The study of Uniform Circular Motion relates to objects traveling with constant speed around...
Question 1 The study of Uniform Circular Motion relates to objects traveling with constant speed around a circle with radius, R. Since the object has a constant speed along a circular path, we can also say that A) the object has zero velocity. B) the object has a constant acceleration magnitude. C) the object has zero acceleration. D) the object has a constant velocity. E) the object has an increasing acceleration. Question 2 Uniform Circular Motion (UCM) problems are just...
Assume that star A and star B have the same mass and each moves in a...
Assume that star A and star B have the same mass and each moves in a small circular path in response to an orbiting planet. Star B's path takes only half the time to go all the way around. What is the orbital radius of Star B's planet? Express it as a ratio to the orbital radius of Star A's planet. Hint: Kepler's 3rd law relates a planet's orbital period to its orbital radius. Notice that the two stars have...
Two balls A and B of mass 2kg are launched through the air from the same...
Two balls A and B of mass 2kg are launched through the air from the same height (3m) and at same speed (4 m/s). If the ball A is launched straight upwards, and the ball B is launched horizontally, what is the ratio of their final velocities when they hit the ground? Your answer should complete the statement:"Ball A's final velocity is ____ times Ball B's final velocity."
Question 1 A car is moving at a constant speed of 17.0 m/s around a circular...
Question 1 A car is moving at a constant speed of 17.0 m/s around a circular road with a radius of 34.0 m. Calculate the acceleration of the car. Give your answer with one decimal point. Your Answer: Answer units Question 2 A 1200.0 kg car is moving with a constant speed of 12.0 m/s around a circular road with a radius of 12.0 m. Calculate the friction. Give your answer with one decimal point. Your Answer: Answer units Question...
A block of mass m is moving in a circular path on a tabletop. The radius...
A block of mass m is moving in a circular path on a tabletop. The radius of the circle is r and the object's speed is v. What is the initial angular momentum of the system? What is the initial kinetic energy of the system? Suppose the mass was being pulled in circular motion by a string. The string is threaded through a small hole on the top of the table, and a person pulls on the string until it...
Two identical earth satellites, A and B, are to be launched into circular orbits about Earth's...
Two identical earth satellites, A and B, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5290 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth is 6400 km. a) What is the ratio of the mechanical energy of satellite A to that of satellite B, in orbit? b)What is the ratio of the angular speed of satellite B to that of satellite...
Two people start at the same place and walk around a circular lake in opposite directions....
Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.0x10^-3 rad/s, while the other has an angular speed of 3.0x10^-3 rad/s. Where do they meet again, in reference to their initial positions?
1) A driver knows she is driving counterclockwise on a circular road. She looks down at...
1) A driver knows she is driving counterclockwise on a circular road. She looks down at her speedometer, and notices its reading is not changing with time. she has taken physics so she knows she is accelerstion in what direction ( ignorning any motion of the earth?) 2) you swing a rock, tied to a thread of length L in a horizontal circle around your head at a given constant angular frequency omega. since there is gravity the thread slopes...