17. Three point particles are attached to a disc which is initially rotating with w; = 2.4 rad/s at 1 = 0 s around its center. The masses of the objects and distance between them are m= 1.5 kg, m2= 1.8 kg, m3=2.0 kg and d = 3 cm. If the disc accelerates at a rate of 0.6 rad/s²; a) Find linear speeds of masses after 3 s. b) How many revolutions does m¡ make in first 3 s? c) What is the kinetic energy of the system at t = 2 s? (Icom,dise= 4.8 kgm³). m, m3 Answers: a) V1=0.126 m/s, V2=0.252 m/s, V3=0.378 m/s ; b) 1.58 rev. ; c) 31.1 J

Convert an angular speed of 900 rad/s (radians per second) to rpm (revolutions per minute).

A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 150 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim? rpm

A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 220 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim? Give your answer in rad/s.

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A rotating space station is said to create "artificial gravity"-a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 190 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s² at the rim? rpm

A point mass of O.37 kg is set to rotate about a fixed axis 0.74 m away. The mass is initially at rest and undergoes a constant angular acceleration of 5.57 rad/s². At what time will the centripetal force acting on the mass be 55.4 N?

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/s

A basketball spinning on someone’s finger undergoes an angular acceleration of -0.15 rad/s and is traveling at 27 rad/s initially. How many revolutions will it make before coming to a stop?

Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 380 rpm, and the piece of dust is 4.0 cm from the center, what is the total distance (in m) traveled by the dust in 9 minutes? (Ignore accelerations due to getting the CD rotating.)