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A 1.01 kg rolling hoop with a radius of 9 cm rolls without slipping. If the angular speed of the hoop is 2.09 rad/s , compute rotational kinetic energy of the rolling hoop in Joules.
A 150 meter radius turn in a highway is designed such that 120 km/hr is the maximum safe speed of an automobile whose tires have a coefficient of friction of 0.4 for sliding (sideways) on the road.
Determine the volume flow rate of air through the fan in ft3/s and the minimum power in hp required for the fan. Choose the control volume sufficiently large to contain the fan.
For an aluminum alloy, the activation energy for crystal growth is 120 kJ/mol. By what factor would the rate of crystal growth change by dropping the alloy temperature from 500oC to room temperature
Caculate the period and the frequency of rotation for the object. C. Calculate the centripetal force required to rotate a 3kg mass in a 6m diameter circle at one 60 revolutions per minute.
A carbon steel with 1.13 wt % C is given the following heat treatment: (i) quenched instantaneously to 200oC, (ii) held for 1 day, and (iii) cooled slowly to room temperature. What is the resulting
Assume that the liquid film is thin enough and flat and that the flow is fully developed with zero net flow rate (flow rate Q = 0). Determine the velocity profile u(y) and the pressure gradient dp/d
What is the tension in the chain if the rider exerts a torque of 10 N.m to one pedal? (What is the speed of the bicycle if the rider is propelling it by rotating the pedals at 2 rotations per second
The surface at x = 0 is to be considered perfectly insulated, while the surface at x = L is kept at zero temperature. Derive an expression for the steady temperature in the material.
The entropy of the cooling liquid increases during the process by 5.9 kJ/K per kg of steam. a. Is the process reversible of irreversible? b. What is the temperature of the cooling liquid?
If the two masses start from rest, and the left mass is twice as massive as the right, (Mleft = 2 * Mright), what is the acceleration of the left mass when they are released?
You pull the cars with a force F = 2 N. If friction can be neglected, what are the tensions in the two ropes A (connecting M1 and M2) and B (connecting M2 and M3)?
Calculate the proper diameter to prevent air entrainment. Is the calculated diameter realistic? If yes explain if no say why and suggest a proper solution.
Consider the cooling of a 3 wt% C cast iron. a- What is the weight fraction of austenite and liquid at 1250oC b- What is the weight fraction of austenite and cementite at 750oC.
Two hypothetical metals A and B have melting points of 600 and 850 o C, respectively. Sketch a binary phase diagram for each of the following sets of assumptions.
A research engineer for a tire manufacturer is investigating tire life for a new rubber compound. Find a 95% one-sided lower confidence bound on mean tire life. (d) Use the bound found in part (c) to
Determine the magnitude of the moment of the 600 N force about A by calculating the perpendicular distance from A to the line of the force point.
Determine the chemical formula of this compound. The atomic weights of copper and antimony are 63.54 and 121.75 respectively.
Calculate the pressure in the tank if the water level is drained to the 4 foot level. If the tank described in scenario 4 were to be filled to the 3 foot level at 75 psig.
What would the stroke time (sec) have been for the cylinder with a rod diameter d =0.51 in, and a stroke length of L =5.8 if it had a 2:1 ratio rod?
If the pressure of the cylinder is p = 255 psi, diameter of the piston is 4 in, diameter of the rod is 1 in calculate the load carrying capacity of the piston (lb) during extension.
Two hypothetical metals A and B have melting points of 600 and 850 0C, respectively. Sketch a binary phase diagram for each of the following sets of assumptions. In each diagram label all features cle
The tank normally ranges between the 12 foot level and the 2 foot level. Calculate the pressure seen at the lowest fixture from this variation in the tank water level.
The object is spun (swung) with circular trajectory...parallel to the floor. The string dips a constant 9 degrees from the horizontal and has a length of 70 cm from its pivot point. A) Determine the