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 369 m along a circular arc. How far along a circular arc is an astronaut in chami moved during the same time if r_a = 266 m and r_b = 165 m? Note: Express your answer in whole numbers. No unit is re for the final answer. Set your calculator in radians.

A wheel has a radius of 2.30 m. How far (path length) does a point on the circumference travel if the wheel is rotated through the following angles, respectively? (a) 1.045 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m 25.0° (b) 25.0 rad (c) 25.0 rev

In an amusement park ride called The Roundup, passengers stand inside a 19.0 m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in ( Figure 1). For help with math skills, you may want to review: Mathematical Expressions Involving Squares For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Vertical circle. Figure Rotation axis 1 of 1 > Suppose the ring rotates once every 5.30 s. If a rider's mass is 58.0 kg, with how much force does the ring push on her at the top of the ride? Express your answer with the appropriate units. Value Submit Part B μÀ Value Part C Request Answer Suppose the ring rotates once every 5.30 s. If a rider's mass is 58.0 kg, with how much force does the ring push on her at the bottom of the ride? Express your answer with the appropriate units. μÅ Units Submit Request Answer Units μА ? ? What is the longest rotation period of the wheel that will…

The car's wheels rotate with a frequency of 100 [1/s]. The driver began to brake and stopped within 2 minutes. How many turns did the wheels perform to the stop?

The displacement of a vehicle (in meters) is given in Cartesian co-ordinates by: d = -2.4tââ + 4.7tŷ At t = 2.0 seconds, the displacement (in meters) of the vehicle in Polar co-ordinates would be given as d =. mî+ Part A The radial ( r) component would be: ? d = mê Submit Request Answer Part B The angular ( 0) component would be: ? d = Submit Request Answer 國

A circular track has several concentric rings where people can run at their leisure. Phil runs on the outermost track with radius rP while Annie runs on an inner track with radius rA = 0.70 rP. The runners start side by side, along a radial line, and run at the same speed in a counterclockwise direction. How many revolutions has Annie made when Annie's and Phil's velocity vectors point in opposite directions for the first time?

The tires of a car make 82 revolutions as the car reduces its speed uniformly from 96 km/h to 63 km/h. The tires have a diameter of 0.70 m. If the car continues to decelerate at this rate; how much more time is required for it to stop? (Your result must be in seconds and include 1 digit after the decimal point. Maximum of 2% of error is accepted in your answer.)

The tolerance is -+1 in the 3rd significant digit

2.

A Ferris wheel rotating at 25 rad/s slows down with a constant rate of magnitude 3.7 rad/s2. How many revolutions does it make before coming to a stop? Express your answer to 1 decimal place.