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.

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.

Technician a says that in a worm gear steering system, most excessive steering free play is usually found in the gearbox. technician b says that in a rack-and-pinion steering system, excessive free play can be found in the bushings. who is correct?