. If T=825lb*in for d=.925in, find the expression for the instantaneous rate of change of T with respect to d
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The torque T on the arm of a robotic control mechanism varies directly as the cube of the diameter of the arm. If T=825lb*in for d=.925in, find the expression for the instantaneous rate of change of T with respect to d
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- An electric motor exerts a constant torque of τ=10N⋅mτ=10N⋅m on a grindstone mounted on its shaft; the moment of inertia of the grindstone is I=2.0kg⋅m2I=2.0kg⋅m2. If the system starts from rest, find the work done by the motor in 8.0 ss and the kinetic energy at the end of this time. What was the average power delivered by the motor? SOLUTION SET UP AND SOLVE We want to use W=τΔθW=τΔθ to find the total work done and then divide that by the time interval Δt=8.0sΔt=8.0s to find the average power (work per unit time). But first we need to find the total angle ΔθΔθ (in radians) through which the grindstone turns. The angular acceleration αα is constant, so we can use τ=Iατ=Iα to find αα and then apply the formulas for constant angular acceleration. The angular acceleration is α=τI=10N⋅m2.0kg⋅m2=5.0rad/s2α=τI=10N⋅m2.0kg⋅m2=5.0rad/s2 For constant angular acceleration, θ=θ0+ω0t+12αt2=0+0+12(5.0rad/s2)(8s)2=160radθ=θ0+ω0t+12αt2=0+0+12(5.0rad/s2)(8s)2=160rad The total work…A spinning wheel that initially rotates at 6.3 rad/sec is braked uniformly to a stop in 6.3 second. What is the value of angular acceleration α?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 pulley with moment of inertia I = 0.75 kg-m² and radius R = 15 cm is mounted on a wall. A light string is wrapped around the pulley with a mass m = 2.0 kg attached to the end. The pulley rotates as the mass falls. Use Newton's second law to calculate the acceleration of the mass. Check that your formula gives the expected behavior when I →0. => To help get started, the free body diagrams m and the pulley is shown below. T m Write down Newton's second law for each diagram. Use (and explain) the relationship R a = RO TIL R TIn the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >A 20 N force is applied at the end of a wrench that is 40 cm in length. The force is applied at an angle of 60° to the wrench. Calculate the magnitude of the torque about the point of rotation M.
- Question 16 my m, Two blocks are joined by a pulley system (see Figure). The pulley is a solid disk of mass 0.5 kg and radius 179 mm. Assume that the pulley rotates smoothly. If mass 1 is 4.4 kg and mass 2 is 15 kg, what is the angular acceleration of the disk? HINT: the tensions in the horizontal and vertical portions of the rope are not equal. (PUHQ1629)In the figure, two 5.70 kg blocks are connected by a massless string over a pulley of radius 140 cm and rotational inertia 7.40 x 104 kg-m². The string does not slip on the pulley: it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 1.20 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T, and (d) string tension T;? Assume free-fall acceleration to be equal to 9.81 ms?. (a) Number Units (b) Number Units (c) Number Units (d) Number Units >PLEASE SEND THE ANSWER IN 10 MINUTES !!! Find the magnitude of the net torque on the wheel in Figure below about the axle through O, taking a=13cm, b=41cm. The magnitude of the applied forces are F1=11N, F2=20N, and F3=11N. Provide your answer in units of m⋅N and round off your answer to 2 decimal places.