Now we have a rod-shaped space station of length 1402 m and mass 8.50 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.51 rpm. If the length of the rod is reduced to 1.51 m, what will be the new rotation rate of the space station? 1 5.08 rpm 2.54 rpm 3 8.13 rpm 4 1.52 rpm
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If the length of the rod is reduced, will the rotation rate increase or decrease?
- There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 12.2 cm. When the cylinder is rotating at 2.45 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall? Number Units #A large spherical gas cloud of radius = 5 x109 km has a mass = 2.4 x1030 kg, and is spinning to make one revolution in 60 years (i.e. Earth years, each of 365 days of 24 hours each). Due to gravity, the cloud gets smaller to a radius = 1.2 x106 km. What will be its period of rotation in minutes?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 chamber B 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 required for the final answer. Set your calculator in radians. ra A rB B.
- Microwave ovens rotate at a rate of about 5 rev/min. What is this in revolutions per second? |rev/s What is the angular velocity in radians per second? |rad/sa) What is the period of rotation of Venus in seconds? (The period of rotation of Venus in hours is 5,832.5 hr.) Answer in seconds (b)What is the angular velocity (in rad/s) of Venus? (Enter the magnitude.) Answer in rad/s (c) Given that Venus has a radius of 6.1 ✕ 106 m at its equator, what is the linear velocity (in m/s) at Venus's surface? (Enter the magnitude of the linear velocity at the equator.) Answer on m/sNow we have a rod-shaped space station of length 1296 m and mass 1.43 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.83 rpm. If the length of the rod is reduced to 1.83 m, what will be the new rotation rate of the space station? 1. 3.01 rpm 6.27 rpm 3 3.76 rpm 4 9.41 rpm
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