Question

In: Physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is...

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.894 rad/s2.

(a) What is the moment of inertia of the wheel?



(b) What is the mass of the wheel?


(c) If the wheel starts from rest, what is its angular velocity after 4.90 s have elapsed, assuming the force is acting during that time?

Solutions

Expert Solution


Related Solutions

A 2.50-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m....
A 2.50-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. 1- What constant torque will bring it from rest to an angular speed of 1200 rev/min in 2.5 s? 2- Through what angle has it turned during that time? 3- Use equation W=τz(θ2−θ1)=τzΔθ to calculate the work done by the torque. 4- What is the grinding wheel’s kinetic energy when it is rotating at 1200 rev/min? 5- Compare your answer in part (D) to...
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass...
A grinding wheel is a uniform cylinder with a radius of 8.50 cm and a mass of 0.350 kg . A. Calculate its moment of inertia about its center. B. Calculate the applied torque needed to accelerate it from rest to 1950 rpm in 4.00 s if it is known to slow down from 1750 rpm to rest in 57.5 s .
A grinding wheel is in the form of a uniform solid disk of radius 6.96 cm...
A grinding wheel is in the form of a uniform solid disk of radius 6.96 cm and mass 2.05 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.606 N · m that the motor exerts on the wheel. (a) How long does the wheel take to reach its final operating speed of 1 190 rev/min?   s (b) Through how many revolutions does it turn while accelerating? rev
In general, large bacteria have the shape of a cylinder of a radius r and a...
In general, large bacteria have the shape of a cylinder of a radius r and a very long length h, where h >> r. This is due to the fact that a large cylindrical bacterium can feed itself more efficiently than a large spherical bacterium. To check whether this is true or not, assume there are two bacteria, one cylindrical (with h >> r) and one spherical with radius R where they have the same volume, and thus the same...
A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder...
A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder of radius R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center, and each cylinder is rotating around its symmetry axis. Which one has the greatest rotational kinetic energy? both cylinders have the same rotational kinetic energy the solid cylinder the solid sphere they all have the same...
A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is...
A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.80 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy? When the cylinder reaches the bottom of the ramp,...
Consider an old-fashioned bicycle with a small wheel of radius 0.51 m and a large wheel...
Consider an old-fashioned bicycle with a small wheel of radius 0.51 m and a large wheel of radius 0.8 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 8 minutes to a velocity of magnitude 24.5 m/s. He maintains his velocity for 9.5 minutes and then decelerates, with constant deceleration, for 7.3 minutes. Find the total angle through which a point on the small wheel has turned.
A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It...
A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It is released from rest on a ramp tilted at 8.00° from horizontal, and it rolls without slipping down the ramp until it has moved a vertical distance of 0.350 m. What is the angular speed of the cylinder when it reaches the bottom? What is the magnitude of the angular momentum of the cylinder when it reaches the bottom?
A 4.00-m-long cylinder of solid aluminum has a radius of 2.00 cm. 1) If the cylinder...
A 4.00-m-long cylinder of solid aluminum has a radius of 2.00 cm. 1) If the cylinder is initially at a temperature of 4.00∘∘C, how much will the length change when the temperature rises to 30.0°C? 2)Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? 3)By what percentage does the volume of the cylinder increase?
A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.36...
A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.36 kg. This cylinder is floating in water. Then oil (ρ = 851 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT