Please show your work. Thank you! 71. A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 424 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time if r_a = 132 m and r_b = 403 m? Note: Express your answer in whole numbers. No unit is required for the final answer.

Please show your work. Thank you! 71. A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 424 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time if r_a = 132 m and r_b = 403 m? Note: Express your answer in whole numbers. No unit is required for the final answer.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 20PQ

See similar textbooks

Similar questions

help with two part question please thank you-- A). If a merry-go-round turns thru 4.4 radians and you're sitting at a radius of 5 from the center of the circle, find the distance you moved thru (also known as the arclength) B). If a merry-go-round turns at 6 radians/sec and you're sitting at a radius of 5 from the center of the circle, find your velocity
Solve the following problems. Because Earth is rotating around its axis, objects on its surface have radial acceleration. Take note that the radius of the Earth is 6,380 km and Earth rotates around its axis in 24 hours. a. What is the radial acceleration of an object at Earth's equator in m/s? b. What is the radial acceleration for an object at 20-degree latitude? c. Express your answers in parts (a) and (b) as a fraction of acceleration due to gravity, g. Using these values, explain why objects on Earth's surface are not thrown off into space.
A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 3.40 x 102 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time?
A toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 51 meters along the race track. How many radians has the racecar swept out? __radians What is the racecar's distance to the right of the center of the race track (in meters)? ____ meters
A merry-go-round is stationary. A clog is running around the merry-go-round on the ground just outside its circumference, moving with a constant angular speed of 0.750 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the edge of the merry-go-round one- third of a revolution in front of him. At the instant the dog sees the bone (t = 0), the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.015 0 rad/s2. (a) At what time will the dog first reach the bone? (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time?
A toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 51 meters along the race track. How many radians has the racecar swept out? radians What is the racecar's distance to the right of the center of the race track (in meters)? meters What is the racecar's distance above the center of the race track (in meters)? meters Let dd represent the racecar's varying distance traveled (in meters) along the circular race track. Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters). Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters).
ANSWER QUICK! Ive read the honor code and it says that their a question can have up to 3 subparts (i.e. part a, b, and c). So please answer all questions. A fire hose held near the ground shoots water at a speed of 12.5 m/s. At what angle(s) should the nozzle point in order for the water to land 6.69 m away? What is the lowest angle in radians? What is the larger angle in radians?
A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.05 radians since it started moving. The racecar is how many radius lengths to the right of the center of the race track? radius lengths The racecar is how many meters to the right of the center of the race track? meters The racecar is how many radius lengths above the center of the race track? radius lengths The racecar is how many meters above the center of the race track?
A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.05 radians since it started moving. The racecar is how many radius lengths to the right of the center of the race track? __ radius lengths The racecar is how many meters to the right of the center of the race track? __ meters The racecar is how many radius lengths above the center of the race track? ___ radius lengths The racecar is how many meters above the center of the race track? __ meterss
t what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.64 g? Assume the spaceship's diameter is 24 m , and give your answer as the time needed for one revolution (see the figure (Figure 1)).
Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 1.4 m and it rotates once every 1.2 s. What is the magnitude of Buzz's acceleration, in m/s2?
A proton has a speed 5x106m/s and is moving in a circle in the xy plane of a radius r = 0.175m.what is its position in the xy plane at time t= 2.0x10-7 s? at t= 0, the position of the proton is 0.175mî and its circles counter clockwise.sketch the trajectory.