(d) A 21000 N weight is being pushed up on an inclined surface by a cylinder, as shown in Figure 1. The coefficient of friction between the weight and the inclined surface equals to 0.15. For the pressure of 7000 kPa, determine: The required cylinder piston diameter, if the weight is being pushed at a constant speed. (i) (ii) The standard size of cylinder, if the weight is to accelerate from 0 mm/s to 1200 mm/s in 0.5 s.

A car is being tested on a skidpad with a diameter of 200 feet. An accelerometer in the car measures a lateral (normal) g force of 1.0. How fast is the car traveling? Provide your answer in miles per hour, but do not include units in your answer.

1. The piston hydraulic system can lift very heavy objects with a force significantly lower than that of direct lifting. Imagine a system in which the cross-sectional area of the piston is rectangular rather than a typical circle. The cross-sectional area of the small piston is 20 cm × 40 cm, while the cross-sectional area of the large piston is 2.5 meters × 6 meters. (a) How much force would need to be applied to the smaller piston to lift a 1300-kg car? (Ignore any height differences in the fluid) (b) Use proportional reasoning, order of magnitude, and/or related quantities sense-making techniques to determine if your answer to (a) is reasonable?

The Stroke of a gas engine which works on the constant volume cycle is 381 mm. The pressure at the beginning of the compression is 2.09 bar and at the end of compression is 13.05 bar. Assuming compression follows the law PV^1.36 = C, Calculate the clearance between the piston and cylinder cover at the end of compression in mm of length.

A windmill turns a series of slender rods fixed about one end (see formula below). They are initially 2 meters long, and go at a speed of 15 rpm. I suggested making the blades 1m long to reduce the cross-sectional area of the windmill, keeping the mass the same for mechanical stress consistency. How fast are the windmill blades going now, in revolutions per minute?

A crate of mass m = rough ramp at a constant speed v by a motor with a power input of Pm = 2 kW. The ramp is angled at 0 = 40° with respect to the horizontal, and the coefficient of friction between it and the crate is u = 0,5. Find the crate's speed v up the ramp if the motor is 60% efficient. Р.5) 50 kg is pulled up a %3D т