Moment of Inertia of a Uniform cylinder about an axis at center perpendicular to its face.

Moment of inertia problem A uniform cylinder has mass M and radius R. a. Find by integration the moment of inertia, Io, about its center of mass axis at center, perpendicular to the face of the cylinder. b. Use the translation of axis theorem, 'Ip = Io + M h^2' to find the moment of inertia about an axis parallel to that ...continues

Scattering angle

Particle A of mass m has initial velocity Vo. After colliding with particle b of mass 2m initially at rest, the particles separate. Particle b has a scattering angle of 45 degrees and Particle a has a final velocity of Vo/2. Find the scattering angle of particle A.

'Net torque equals I alpha' As mass m descends it rotates the cylinder with angular acceleration.

A uniform cylinder, mass M= 25 kg, radius R= .75 m, is mounted on a fixed, frictionless bearing. From a cord wrapped on its surface a mass m=6.4 kg descends and rotates the cylinder with angular acceleration 'A'. See attachment for picture of the apparatus. a. Find the angular acceleration of the cylinder. b. Find the tension ...continues

Helium balloon acceleration with load

Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force which can be expressed as Fb = (density of air)(g)(volume of balloon), will push the balloon upward. If the balloon has a diameter of 14.0 m, may be treated as spherical, and carrie ...continues

Calculating a change in temperature given power, density, mass, dimensions, and specific heat capacities.

A class of 12 students taking an exam has a power output per student of 126 W. Assume that the initial temperature of the room is 19.5°C and that its dimensions are 6.20 m by 14.4 m by 3.30 m. What is the temperature (in °C, do not enter units) of the room at the end of 63.0 min if all the heat remains in the air in the room a ...continues

Calculating the amount of ice melted using the latent heat of fusion of ice.

A 58.0 kg ice-skater moving at 6.25 m/s glides to a stop. Assuming the ice is at 0°C and that 53.5 percent of the heat generated by friction is absorbed by the ice, how much ice melts?

Working with power and volume to determine the increase in temperature of water in a lake

Lake Erie contains roughly 4.30 * 10^11 m3 of water. How many years would it take, using the full output of a 1,070 MW electric power plant, to raise the temperature of that volume of water from 10.8 °C to 12.2 °C?

Calculating the volume of an air bubble as it rises to the surface.

An air bubble has a volume of 1.37 cm3 when it is released by a submarine 123 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the air temperature in the bubble stays constant.

'Net Torque = I alpha' applied to a cylinder descending as it unwraps a cord from its surface.

A cord is wrapped on the surface of a uniform cylinder, of mass M=12 kg and radius R= .36 m. Released from rest with the cord vertically tangential to its surface and tied to a ceiling support, the cylinder descends with angular acceleration A as the cord unwinds from its surface. SEE ATTACHMENT FOR PICTURE OF APPARATUS. a. Fi ...continues

Angular motion with constant acceleration of a ceiling fan. Develop and graph position vs time, etc.

A ceiling fan has one red blade. Initially rotating in a counterclockwise (positive direction) with angular velocity Wo= +30 radians per second. SEE THE ATTACHMENT FOR A PICTURE WITH KNOWN DATA. At that instant, when the red blade makes an angle Qo= +1.4 radians from the +x axis, the current is reversed and a timer is started ...continues