A wind turbine whose blades are 16 m is rotating counterclockwise at a rate of 0.88 rev/s. It uniformly slows down until it stops after rotating for 6.4 s. What is the magnitude of the linear acceleration at t= Os? Round your answer to 2 decimal places.
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- A heavy wheel is at position ANGLE angle1= 0 at TIME t1=0s. It is rotating at constant ANGULAR VELOCITY w= 0.325 1/s. What is its position ANGLE angle2 at TIME t2=1.97s? (HINT: ALL angles in this problem are in radians, NOT degrees.)Cheryl is riding on the edge of a merry-go-round, 2m from the center, which is rotating with an increasing angular speed. Cheryl’s tangential acceleration is 3.0m/s2. At the instant that Cheryl’s linear speed is 4.0m/s, what is Cheryl’s total acceleration?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 rpm
- A ceiling fan is turned on and reaches an angular speed of 111 rev/min in 23 s. It is then turned off and coasts to a stop in 47 s. In the [t1+t2] s of rotation, through how many revolutions did the fan turn?A flywheel is rotating at 36.5 rev/s.What is the total angle, in radians, through which a point on the flywheel rotates in 29.7 s?Afham is riding a merry-go-round. He is 5 meters from the center and the merry- go-round completes three revolutions per minute. Find the centripetal acceleration acting on Afham. Answer (0.5rt) /5 m s-2 (0.5t) /5 rad s-2 0.49 m s-2 1.57 rad s-1
- A bear pushes, with a constant force, a circular rock with a radius of 7.2 m from rest. The rock rotates with a acceleration of 4.0 m/s2 at t = 5.0 s. What is its tangential acceleration at t = 5.0 s. {ac=r?2 at=r?}A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.A light rod is 88 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs straight down at rest with a small massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swing around in full circle. What minimum speed (m/s) at the bottom is required to make the ball go over the top of the circle? Round your answer to 2 decimal places.
- A centrifuge accelerates uniformly from rest to 14000 rpm in 225 s. Part A Through how many revolutions did it turn in this time? Express your answer with the appropriate units. Ө = U 26242 rad Ć ?A body that begins to rotate at a uniform acceleration makes the first 21 revolutions in 33.9 s. How long does it take to complete the next 21 turns?A turbine is spinning freely at 3750 rpm. It takes 8 min to coast to a stop due to friction in the bearings. How many revolutions doe the turbine make while stopping? Express your answer in revolutions.