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 ?

The center O of the wheel is mounted on the sliding block, which has an acceleration ao = 7.1 m/s² to the right. At the instant when 0 = 39°, 0 = 3.3 rad/s and 0 = -6.7 rad/s². For this instant determine the magnitudes of the accelerations of points A and B. 8 Answers: aA = ав A i i 340. mm B ao m/s² m/s²

A circular track has several concentric rings where people can run at their leisure. Phil runs on the outermost track with radius rP while Annie runs on an inner track with radius rA = 0.70 rP. The runners start side by side, along a radial line, and run at the same speed in a counterclockwise direction. How many revolutions has Annie made when Annie's and Phil's velocity vectors point in opposite directions for the first time?

E. The centripetal acceleration of a particle moving in a circle is given by the formula a = s²/r where r is the radius and s is the speed of the particle. a) Consider a as a function of s and r. Compute the differential of a. b) Suppose that the particle is moving with speed 50cm/sec and the radius is 10cm. Use the differential to estimate the change in centripetal acceleration if the radius is changed to 9.80cm and the speed is changed to 51cm/sec. (Answ: 15) c) Suppose that the speed can be measured to within +3% and the radius can be measured to within +2%. Use the differential to approximate the maximum percent error in a. (Hint: The percent error in a quantity is the error in the quantity (da) divided by the quantity (a).) (Ans: 8%)

An object is moving counterclockwise around a circular track at a constant speed of 3 m/s. The track is centered at the origin and has a radius of 1 m. What is the object's acceleration vector when it is at point P shown? y. P -(3플)i ○금3 + (3프) i a = +(9) i m Oa = 0 -(9플)i

A centrifuge accelerates uniformly from rest to 13000 rpm in 180 s. A. Through how many revolutions did it turn in this time?

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 model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 1. What is the linear speed of the blade tip? Express your answer in meters per second. 2. What is the radial acceleration of the blade tip expressed as a multiple of the acceleration due to gravity, gg? Express your answer as a multiple of gg. 3.

Answer a and  c

i need part b