Mechanical Engineering Answers

A temperature sensor may be modeled as a sphere having a thermal conductivity of 91 W/m-K, a density of 8900kg/m³, and a specific heat of 444J/kg-K. If the sphere diameter is 3 mm. Determine the time required for the sensor to respond to 95% of a step change in the

temperature of the convective environment. The heat transfer coefficient is 1000W/m²-K.

A gas initially at P1= 827,400 Paa and v1=2.6 li undergoes a process and change state to a point where p2=275,800 Paa and v2=6.2li. If the internal energy decreases 123 KJ and Cp=295 J/kgm-K, determine (a) Cp, (b) delta U, and (c) R.

a compound tube of 300mm external and 100 mm internal diameter is formed by shrinking one cylinder onto another, the common diameter being 200 mm if the maximum hoop tensile stress induced in the outer cylinder is 90mn/mm². find hoop stress in the inner and outer diameter of both cylinders

A simply supported beam 6 meters long. From the left support there is a uniformly distibuted load of 12kN/m for 2 meters. One meter from the left a bending moment of 10 kNm anticlockwise is applied.

Take E = 200 GPa and I = 9 x 10^-6m⁴

Use Macaulay' s method and take x = 0 on the left.

A cantilever is 3 meters long. The free end is on the left. On the left is a point load of 12kN. One meter from the left a bending moment of 10 kNm anticlockwise is applied.Take E = 200 GPa and I = 37 x 10^-6m⁴

Use Macaulay' s method and take x = 0 on the left.

4. Two shafts A and B are connected by rolling cones and turn in the same direction. Shaft A makes 300 rpm while shaft B makes 100 rpm. Calculate the cone angle of each cone and the diameter of each base if the base of cone B is 2 in. from the vertex. θ = 30°

Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles.

2.) Two solids of right section 2 and 4 are in pure rolling contact between the circular arcs. What is the angular speed ratio for the position shown? Determine the size of the angles , β, and Ø in degrees, and of the radii x and y in inches.

3.

The radiation shape factor of the circular surface of a thin hollow cylinder of 10 cm diameter and 10 cm length is 0.1716. What is the shape factor of the curved surface of the cylinder with respect to itself

3. Two parallel shafts, 24 inches apart and having a speed ratio of 3, are connected by cylinders in pure rolling

contact. Determine the diameters of the cylinders: (1) when they turn in opposite directions; and (2) when

they turn in the same direction