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- a windmill spins at a rate of 15 rpm. Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let " h " represent the height of the caterpillar from the ground. a) What is the period of the rotation? b) Assuming the caterpillar starts at the bottom, give two equations for its vertical position, one using cos and the other with sine. c) Determine the angular velocity of the caterpillar in rads/sec d) How far the caterpillar travel in 24 minutes?A typical hard disk in a computer spins at 7200 rpm. Part A What is the frequency, in rev/s? Express your answer in revolutions per second. uνα ΑΣΦ f D rev/s Submit Request Answer Part B What is the period, in seconds? Express your answer in seconds. D ΑΣΦ T = Submit Request Answer1) A student measures the acceleration of a disk with 12 cm radius. She attaches a 150 g mass to the string and winds it around a 1 cm radius axle. When the mass drops, the tension from its weight creates an angular acceleration of 1.7 radians/s² on the disk. (This refers to sections 1.1 through 1.4 and utilizes the equations in the theory. Be careful to use the correct radius when you use equation 4.) a) Calculate the moment of inertia of the disk. b) Calculate the mass of the disk. 2) She adds the cylinder with inner and outer radii are 5 and 5.5 cm respectively. Using the same mass and axle radius as before she measures a new angular acceleration of 1.46 radians/s². a) Calculate the moment of inertia of the disk and cylinder together. b) Calculate the moment of inertia of the cylinder by itself. c) Calculate the mass of the cylinder.
- 1. A wheel is spinning so that it goes around 6 times every second. A brake is then applied to the wheel, causing it to slow to a frequency of 3 times per second in 5 seconds. How many times does the wheel spin around while the brake is applied? Fill in the table with what is given and what is needed. All values in the table should be in terms of radians. ΔΘ @i Of а At XA 40 kg child sits on the edge of a carnival ride at a radius of 4 m. The ride makes 3 revolutions in 6 s. question: The period of revolution for this ride is a. ½ rev/s b. ½ s c. 2 rev/s d. 2 s e. 4 sAn 1500 kg automobile has springs with k = 1.4×104 N/m. One of the tires is not properly balanced; it has a little extra mass on one side compared to the other, causing the car to shake at certain speeds. Part A If the tire radius is 42 cm, at what speed will the wheel shake most? Express your answer using two significant figures. VΞΑΣΦ V = Submit Request Answer ? m/s
- 2. A conical pendulum consists of a 0.50 kg ball attached to a string with a length of 75.0 cm. The ball travels at a constant speed in a circle, while the string makes an angle of 32° with the vertical. What is the speed of the ball? I 324Velocity and Acceleration of Simple Pendulum. L= 1m,T0 = 0, θ = 0, θ’ = 10deg/s, θ’’ = 2deg/s*s. Tf = 1sec, θ = 45 deg, θ’ = 5deg/s, θ’’ = 1 deg/s*s b.Find the angular velocity at T0 and Tf c.Find the angular acceleration at T0 and TfA 0.500 kg particle moves in a circle of radius 0.150 m at constant speed. The time for 20 complete revolutions is 31.7 s. What is the period T of the motion? What is the speed of the particle?
- A 3.05kg object hangs, at rest, on a 1.96m long string attached to the ceiling. A 120g object is fired with a speed of 8m/s at the 3.05kg object, and the two objects collide and stick together in a totally inelastic collision. Hint 1 Hint 2 A. Determine the maximum angle that the two objects swing after the collision. Express the angle in radians. 1.51 0 max x = 1.51 radians B. Write an equation for the angle of the string, as a function of time, t, and one or more numeric values. Assume that the collision occurs at t=0s. 0= 1.51 sin (2.34t) XAn amusement park ride spins its rider in a circle with a radius of 2.0 m. Determine the minimum frequency of rotation of the circle that would keep the rider from falling if the friction coefficient between the rider and the wall is 0.68. Express your answer in units of Hz (cycles per second). Use g=10 N/kg. Hint: The required friction force is the weight of the person. The normal force of the wall on the rider causes the friction.Marianne puts her favorite Backstreet Boys disc in her CD player. If it spins with a frequency of 1000 revolutions per minute, what is the period of spin of the compact disc in seconds? Curtis’ favorite disco record has a scratch 12.9 cm from the center that makes the record skip 75 times each minute. What is the linear speed of the scratch as it turns?