Ex. 47 A circular disc of mass 2 kg and diameter 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane. If it performs 120 revolutions per minute, calculate its rotational kinetic energy.
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- A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie in the same plane. If the system rotates at 10 rev/s, what is its rotational kinetic energy? 40 cm axis 20 cm 60 cm O 1.1 x 103 . O 2.2 x 103 ) 3.4 x 103 J O 4,4 x 103 ) 5.2 x 103 JA 21 mm diameter glass marble with a mass of 25 g rolls without slipping down a track toward a vertical loop of radius ?=15 cm, as shown in the figure. Approximate the minimum translational speed ?min the marble must have in order to complete the loop without falling off the track when it is a height ?=25 cm above the bottom of the loop.In the figure, a wheel of radius 0.326 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.264 kg.m². A massless cord wrapped around the wheel's circumference is attached to a 4.00 kg box. The system is released from rest.When the box has a kinetic energy of 3.00 J, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen? Assume free-fall acceleration to be equal to 9.81 m/s². (a) Number (b) Number Hi Hi M m Units Units
- A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 492-mile trip in a typical midsize car produces about 3.30 x 10° J of energy. How fast would a 26.8-kg flywheel with a radius of 0.315 m have to rotate to store this much energy? Give your answer in rev/min. Number 6640184.43 Units rev/minA 0.22kg solid cylinder is released from rest at the top of a ramp and travels 1.5m to the bottom. The cylinder has a radius of 0.15m, and the ramp is at an angle of 15 degree with the horizontal. What is the rotational kinetic energy of the cylinder when it reaches the bottom of the ramp?Computation. A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic energy. On demand, that stored energy can be converted into the car's translational kinetic energy. Suppose the flywheel has a mass of 380 kg, a radius of 0.4 m, and maximum rotational speed of 70 rev/s. Calculate the 1,593-kg car's maximum speed (starting from) rest if all of its kinetic energy comes from the flywheel. [Tip: Be careful with units.] Umax m/s Record your numerical answer below, assuming three significant figures. Remember to include a as necessary. O Search REY
- Tab sLk A printing press has a roller 17 inches in diameter. A point on the roller's surface moves at a speed of 85 feet per second. What is the roller's angular speed? The roller's angular speed is radians per second. (Round your answer to the nearest hundredth.) Esc I 1 Q A 91°F Sunny 261 N @ 2 W S Alt X 3E D C STR 4 F C FS do 5 % T V OL G 6 B F7 H W & 7 P U N J 8 +00 8 F9 1 k M F10 ( 9 K O V LO F11 O L P All + 99+ F12 . V PThe 4.00-cm-long second hand on a watch rotates smoothly. What is its angular speed? Express your answer in radians per second to three significant figures. What is the speed of the tip of the hand?A solid cylinder with a mass of 300.0g and a radius of 20.0cm is rotating at 50.0 rad/s. A metal hoop of mass 200.0g and radius 10.0cm, initially not rotating, is dropped onto the rotating solid cylinder so that their rotational axes align. Determine the angular speed of the 2 objects as they rotate together. Report your answer in radians per second, but only enter in the numerical value.
- NE Chapter 10, Problem 062 Z Your answer is partially correct. Try again. In the figure, three 0.07 kg particles have been glued to a rod of length L = 5 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis (a) Number Units 0.0010110 (b) Number Units 0.030 (c) NumberTo.050 Units (d) Number UnitšT kg-m 2 m Click if you would like to Show Work for this question: Open Show Work emThe rigid body shown in the figure consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.41 kg, a = 35 cm, and b = 53 cm, how much work is required to take the body from rest to an angular speed of 5.8 rad/s? M 2M Number Units JThe answer is supposed to be v=2.56m/s but I'm not sure how to write out the problem.