Question

In: Physics

A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0...

A truck with a total mass of 1.72 * 10^3 kg has wheels of radius 33.0 cm and moment inertia of 0.800kg-m^2. Find the trucks (a) translational energy and (b) rotational energy when the truck is moving at a speed of 25.0 m/s

Show All Your Work

Expert Solution

mass of the truck m = 1.72*10³ kg

radius of the wheel r = 33 cm = 0.33 m

moment of inertia I = 0.800 kg.m²

Truck has 4 wheel.

a)

speed of the truck v = 25 m/s

translational kinetic energy (K.E)t = (1/2) mv²

= (1/2)(1.72*10³)(25)²

= 537.5 *10^3 J for 1 wheel

Total translational kinetic energy = (537.5*10³ *4 ) J

= 2150 *10^3 J

b)

speed of the car v = 25 m/s

rotational energy is

(K.E)r = (1/2) Iω² [since ω = v/r]

= (1/2)(I)(v/r)²

= (1/2)(0.800)(25/0.33)²

= 2295.68 J for 1 wheel

Total rotational energy of truck = (2295.68*4)J

= 9182.7 J

genius_generous answered 1 year ago

A disk of radius 14 cm and has a mass of 10 kg is attached to...

A disk of radius 14 cm and has a mass of 10 kg is attached to a hub which is a disk of mass 8 kg and radius 5cm. The disks are mounted on a frictionless axel that runs through the center. A rope passes over the hub and supports a 10 kg mass on one side and a 5 kg mass on the other. If the rope does not slip on the hub, a.) What is the tension in...

Two wheels have the same mass and radius of 4.9 kg and 0.41 m, respectively. One...

Two wheels have the same mass and radius of 4.9 kg and 0.41 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 9.5 s. Find the net external torque that acts...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...

A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?

What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of...

What is the Schwarzschild radius of a 3 kg rabbit? Hint – find the mass of the rabbit in solar mass units first. 1 solar mass = 1.99 X 1030 kg

A disk with a c value of 1/2, a mass of 3 kg, and radius of...

A disk with a c value of 1/2, a mass of 3 kg, and radius of 0.29 meters, rolls without slipping down an incline with has a length of 6 meters and angle of 30 degrees. At the top of the incline the disk is spinning at 28 rad/s. How fast is the disk moving (the center of mass) at the bottom of the incline in m/s?

A car of mass 2400 kg collides with a truck of mass 4500 kg, and just...

A car of mass 2400 kg collides with a truck of mass 4500 kg, and just after the collision the car and truck slide along, stuck together, with no rotation. The car's velocity just before the collision was <35, 0, 0> m/s, and the truck's velocity just before the collision was <-10, 0, 21> m/s. What is the increase in internal energy of the car and truck (thermal energy and deformation)?

Jupiter has a mass of 1.91027 kg and a radius of 69,900 km. G = 6.6710-11...

Jupiter has a mass of 1.9*1027 kg and a radius of 69,900 km. G = 6.67*10-11 Nm2 /kg2 a. Find the acceleration due to gravity at its surface b. Find the speed of a satellite orbiting at a height of 10,000 km above its surface c) Find the cetripetal acceleration of the satellite

10) A solid disk with a c of 1/2, mass of 2 kg, and radius of...

10) A solid disk with a c of 1/2, mass of 2 kg, and radius of 1.4 meters lies on a horizontally (so the normal force and weight can be ignored). A force of 9 Newtons is applied 0.37 meters directly to the right of center in the +x direction, a force of 25 Newtons is applied 0.80 meters directly below of center in the +x direction, and a force of 9 Newtons is applied at the edge of the...

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls...

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls such that the center of mass of the wheel has a velocity of 10 m/s. a) Calculate the angular velocity of the wheel. b) Calculate the translational kinetic energy of the wheel. c) Calculate the rotational kinetic energy of the wheel. d) Calculate the total kinetic energy of the wheel by summing the two kinetic energies

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?