The root-mean-square (RMS) value of a periodic function x(t) is given by rms = √ 1 T ∫ x2() T 0 , with T being the period. Use this equation to show that the RMS value of a sinusoidal wave () = m cos( + theta) V is rms = m √2 ⁄ . You may need the trigonometric identity cos2 theta = 1 2 (cos2theta + 1).

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Most leaks in reciprocating air compressors can be detected and minimized by: (clo4) a)-detecting leakage areas using ultrasonic acoustic detector. b)-tightening joints and connections c)-replacing faulty equipment d)-all of the given options