A metal smith is using a bench grinder on a newly forged knife. The knife applies a net torque (which varies in time) on the grinding wheel, shown by the graph below. Note that the grinder is not plugged in; it's spinning freely. ET (Nm)4 '40 ext ,0 30 20 10 time (s) 2 4 6. 8 10 12 The moment of inertia is a constant 0.550 k-gm2. What is the angular velocity of the grinder wheel after 10 seconds?

Hi please help: a solid disk of radius R= 70 cm rotates about its center at an angular speed of 43 revolutions per minute. The mass of the disk is M= 7.7 kg. The moment of inertia of a solid disk is given by 1/2 MR^2. What is the rotational kinetic energy (in Joules) of the disk? Answer with three significant figures

Modem wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotatingA wind turbine has a total of 3 bladesEach blade has a mass of m 5500 kg distributed uniformly along its length and extends a distance r = 49m from the center of rotationThe turbine rotates with a frequency of f= 15 rpm. Part a: enter expression for the total moment of inertia of the wind turbine about its a is of rotation in terms of the define quantites Part b calcukate the total moment of inertia of the wijd turbine about its axis in units of kilogram meter square Part c enter an expression for the expression for the angular momentum of the wind turbine in terms of the defined quantities Part d : calculate the angular momentum of rhe wind turnine in units if kilogram meters squared per second

A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.450 rev/s. What is its angular velocity (in rev/s) after a 28.0 kg child gets onto it by grabbing its outer edge? The child is initially at rest. Ex rev/s S Stanned with CamScanner er a unber Additional Materials O Reading

A disk of radius R, mass M, and moment of inertia I = (1/2)MR- rolls without slipping down an incline and onto a horizontal table. The disk then continues to the right and goes up a frictionless ramp. The disk starts at rest at a height h above the table, as shown . What is the speed of the center of mass of the disk when it reaches the bottom of the ramp? O A. V1/2gh OB. V5/3gh OC. 4/3 gh OD. 6/7gh O E. None of the above

A bicycle wheel, of mass 1.52 kg is placed at the end of a rod 0.630 m in length, which can pivot freely about the other end. D- The rod is of negligble mass. The wheel is turning rapidly such that it has an angular momentum of 15.1 kgm2/s. At what angular speed does the wheel revolve horizontally about the pivot? Submit Answer Tries 0/10

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A metal plate is fixed at point B. Several forces are loaded onto the plate Question 5 as shown. Calculate the total moment about point B due to these loads. FA = 20 N FB = 30 N Fc = 20 N FD = 30 N 0 = 30°

TWo metal disks,one with radius R, = 2.50 cm and mass M, = 0.90 kg and the Other with radius Rz =5.00 cm and mass M2= 2.00 kg , are welded together and mounted on frictionless axis through their common center. A.) What is the total moment of inertia of the two disks. B.)A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.00 m above the floor, what is its speed just before it Strikes the floor. R2 1.50 kg