The reference frame below is rotating with a constant angular velocity of 8,2k rad/s while point A is moving along the +x-direction with a constant velocity of 7,8 m/s. Determine the magnitude of the acceleration of point A with respect to the inertial frame whose origin is attached at point B. y 1 m Yanit

A young boy swings a yo-yo horizontally above his head so that the yo-yo has a cen- tripetal acceleration of 220 m/s². If the yo-yo's string is 0.26 m long, what is the yo-yo's tangential speed? Answer in units of 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 = 2.6 m Δr = 0.5 m Original rotation rate = ωi = 1.6 rev/s The ball's mass is m = 83 grams

An audio compact disk (CD) player is rotating at an angular velocity of 32.5 radians per second when playing a track at a radius of 4.0 cm. What is the linear speed at that radius? What is the rotation rate in revolutions per minute?

*62. GO A space laboratory is rotating to create artificial gravity, as the figure indicates. Its period of rotation is chosen so that the outer ring (ro = 2150 m) simulates the acceleration due to gravity on earth (9.80 m/s²). What should be the radius r, of the inner ring, so it simulates the accel- eration due to gravity on the surface of Mars (3.72 m/s²)? In uniform circular motion the concepts of acceleration and force play central roles. Problem 63 deals with acceleration, particularly in connec- tion with the equations of kinematics. Problem 64 deals with force, and it stresses that centripetal force is the net force along the radial direction. This means that all forces along the radial direction must be taken into account when identifying the centripetal force.

An ultracentrifuge accelerates from rest to 97600 rpm in 2.2 min. Randomized Variables ω = 97600 rpmt = 2.2 minl = 9.5 cm   Part (a)  What is its angular acceleration in rad/s2?   part b) What is the tangential acceleration of a point 9.5 cm from the axis of rotation in m/s2?   Part (c)  What is the centripetal acceleration in multiples of g of this point at full speed?

The International Space Station has a mass of 440,725 kg and is located 420 km away from the surface of the earth. Earth has a mass of 5.97 x 1024 kg and a radius of 6371 km. How quickly does the ISS travel as it orbits the earth, assuming uniform circular motion? Express your answers in rev/day (for angular velocity) and mph (for tangential velocity). Define ALL variables.

The earth orbits the sun once a year (3.16 ✕ 107 s) in a nearly circular orbit radius 1.50 ✕ 1011 m. With respect to the sun, determine the following.(a) the angular speed of the earth rad/s(b) the tangential speed of the earth m/s(c) the magnitude and direction of the earth's centripetal acceleration m/s2

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 bicycle wheel with radius 0.32 m rotates from rest to 4.5 rev/s in 4 s.a) What is the magnitude of the centripetal or radial acceleration at the edge of the wheel at 1 s?b) What is the magnitude of the tangentialacceleration at the edge of the wheel at 1 s?c) What is the magnitude of the resultant linear acceleration at the edge of the wheel at 1 s?