A rocket powered car is set inside a circular track and ignited. Pressure sensors on the wall of the track measure the centripetal acceleration of the car as a function of time to be   ?c(?)=(4 m/s6)?4+(28 m/s4)?2+(49 m/s2)   If the radius of the track is 3.28 m, what is the tangential acceleration of the rocket car at ?=5.51 s?

I Review i Two satellites are in circular orbits around a planet that has radius 9.00 × 10° m. One satellite has mass 68.0 kg, orbital radius 6.00x107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 5.00x107 m. Part A What is the orbital speed of this second satellite? Express your answer to three significant figures and include the appropriate units. HẢ ? V = Value Units Submit Request Answer

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

What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, g? Express your answer as a multiple of g.

A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m.  She completes the 200 m dash in 22.8 seconds at constant speed throughout the race. a) What is the magnitude of her centripetal acceleration in m/s2 as she runs the curved portion of the track?  b) What is the magnitude of her tangential acceleration in m/s2 as she runs the curved portion of the track?   c) What is the magnitude of her angular acceleration in rad/s2 as she runs the curved portion of the track?   d) What is the magnitude of her resultant linear acceleration in m/s2 as she runs the curved portion of the track?

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 15.4°. a. What is the value of the angular acceleration the eyelid undergoes while closing?  answer in rad/s^2 b. What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? answerin m/s^2

A ball travels in uniform circular motion with a Period of 2 seconds. What is the tangential velocity of the object if it is moving in a circle of radius 2 m? 2π m/s m/s 4π m/s 2 m/s 4 m/s

George swings a ball around him, in uniform circular motion.  The circle's radius is r.  George inadvertently releases the string, and the ball goes outward.  He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr.  Calculate the new rotation rate (in rev/s). r = 3.0 m Δr = 1.0 m Original rotation rate = ωi = 1.1 rev/s The ball's mass is m = 160 grams

A car sits at rest at the starting line of a circular racetrack. It begins to accelerate at a constant rate (that 15, a constant angular acceleration) as it makes Its way halfway around the track. It then decelerates at the same constant rate during the second halt of the lap. It completes the entire lap in a time of 28.5 seconds. Also, the radius of the racetrack is 42.0 m. What is the car's top speed?A) 25.6 m/SB) 44.1 m/SC) 18.5 m/sD) 35.1 m/s

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