A Ferris wheel with radius R = 15.0 m is turning about a horizontal axis through its center in the figure. The linear speed of a passenger on the rim is constant and equal to 7.40 m/s. a. What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion? b. What is the direction of the passenger's acceleration as she passes through the lowest point in her circular motion?

Q 5 please

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

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

In the movie Kill Bill the character Gogo Yubari fights with a meteor hammer, which is a bladed metal sphere on the end of a chain.  Let’s assume Gogo is spinning the meteor hammer in a vertical spin, as shown below, with a radius of motion as 1 m. She spins the weapon at 18 m/s.  Gogo then lets out more chain, increasing the radius to 1.62 m.  What is the new velocity of her weapon?

Q 3 please

V01

At takeoff, a commercial jet has a speed of 68 m/s. Its tires have a diameter of 0.88 m. a. At how many rev/min are the tires rotating? b. What is the centripetal acceleration at the edge of the tire in m/s2 c. With what force must a deterimned 1.15 * 10-15 kg bacetrium cling to the rim in N? d. Take the ratio of this force to the bacterium's weight

A small object of mass 0.500 kg is attached by a 0 0.650 m-long cord to a pin set into the surface of a frictionless tabletop. The object moves in a circle on the horizontal surface with a speed of 6.91 m/s.1. What is the magnitude of the radial acceleration of the object?2. What is the tension of the cord?