A student is sitting on a swivel seat and is holding a (2.60x10^0) kg weight in each hand, rotating at (5.750x10^0) rad/s when the weights are held in outstretched arms 0.75 m from the axis of rotation. How fast is the student rotating in units of rad/s when pulling the weights in to the axis of rotation? Express you answer with three significant figures. (The student's body can be approximated as a cylinder with mass of 65 kg and radius of 0.25 m). Initial Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: Answer Final x10
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- A bicycle tire of radius 0.43 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.86 m? Express your answer in radians and degrees.A medical saw is rotating at a constant rate of 15 revolutions per second. If it has a radius of 12 cm, what is the linear speed of point located at its rim? 1,130.4 m/s 11.30 m/s 1.8 m/s 180 m/s None of the choices given.If you hold your arm outstretched with your palm upward, the force to keep your arm from falling comes from your deltoid muscle. Assume that the arm with hand has mass 4.25 kg and the distances and angles shown. What is the magnitude of the torque must the deltoid muscle provide to keep the arm in this position, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
- A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.A torque of 77 N/m is applied to a 39 kg solid sphere with a radius of 0.6 m. If the torque is applied for 9.6 s, how many radians does the sphere rotate through if it starts at rest? (in rad) The axis of rotation passes through the center of the sphere. O 631.8 13.71 O 5.616 2.194 O 1264A 1450 kg disc with radius 3.0 m is rotating at 1500 rev/min when an 925 m·N braking torque is applied to the wheel. How long does it take for the disk to come to rest?
- A bowl is rotating on a potter's wheel at constant angular speed as shown. The friction force between his hands and the bowl is 1.70 N total. If the bowl has a diameter of 13.0 cm, how large is the torque on the wheel? Report a positive answer.A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:The angular position of a rotating object as a function of time is given below: e = 3.113-2.5t2 +4.7t+d Here e is in units of radians and t is in units of seconds and d is constant. Determine the instantaneous angular acceleration of the object at t=2.9s. Express your answer in units of rad/s using one decimal place.
- A rock tied to the end of the string swings at a constant angular rate. If you are told that the string can support a total of 100 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.2 kg, and the length of the string is 0.5m? Give your answer in units of radians per second.Suppose the width of your fist is 6.4 inches and the length of your arm is 32.6 inches. Based on these measurements, what will be the angular width (in degrees) of your fist held at arm’s length?A smoothie blender is spinning its blades at positive 6,800 rpm. When the motor is turned off the blades stop spinning over the course of 2 seconds. Question 1: What is the angular acceleration of the blades? Please answer the question in rad/s^2 Question 2: How many revolutions do the blades complete as they come to a stop?