A small object of mass 2 kg is suspended from a string of length 2 mas shown in the figure. The object revolves with constant speed v in a horizontal circle. If 0=15°, the velocity of the object (in m/s) equals: Select one: a. 1.17 b. 0.83 c. 1.166 d. 2.03
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- Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 1159 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 106.6 rpm 0.615 rpm 0.879 rpm 0.092 rpmA motorcycle, starting from rest, accelerates at 2.87 m/s2 on a circular track with a 205 m diameter. What is the elapsed time, in seconds, at which the centripetal acceleration of the motorcycle has the same magnitude as its tangential acceleration?A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.33×1011 m and the orbital period is 1.37 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?
- *14. A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the drawing. As the station rotates, an ustronaut in chamber A is moved 2.40 × 10° m along a circular arc. Huw far along a circular arc is an astronaut in chamber B moved during the same time? "A = 3.20 x 102 m A rB = 1.10 x 103 mA car travels at a constant speed around a circular track whose radius is 2.67 km. The car goes once around the track in 285 s. What is the magnitude of the centripetal acceleration of the car?A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 4.8 m diameter, if the riders is subjected to a centripetal acceleration 1.3 times that due to gravity, what is the spinning speed in unit of revolutions per minute? Use g = 9.8 m/s2.
- A boy whirls a stone in a horizontal circle of radius 1.46 m and at height 2.29 mabove level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.57 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s². Number UnitsIn a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:You re out in space, on a rotating wheel-shaped space station of radius 679 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.120 rpm 81.6 rpm 0.459 rpm 1.148 rpm
- A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.01×1011 m and the orbital period is 4.27 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?Earth orbits our Sun counter-clockwise at average speed 29 786 m/ . Moon orbits Earth ccw at average distance 384.4 Mm in 2 360 592 s. What is our Moon's average speed around Earth?We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?