Avoltage is given by v(t)=10 sin(1000πt+30°). first, use a cosine function to express v(t). then, find the angular frequency, the frequency in hertz, the phase angle, the period, and the rms value. find the power that this voltage delivers to a 50-ω resistance. find the first value of time after t=0 that v(t) reaches its peak value. sketch v(t) to scale versus time.

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

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.

Determine whether or not it is possible to compress air adiabatically from k to 140 kpa and 400 k. what is the entropy change during this process?