a piping system consists of 100 ft of 2-inch pipe, a sudden expansion to 3-inch pipe, and then 50 ft of 3-inch pipe. Water is fl
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Answer:
The value of the effective (rms) voltage of the applied source in the circuit is 132 V
Explanation:
Given;
effective (rms) voltage of the resistor, = 65 V
effective (rms) voltage of the inductor, = 140 V
effective (rms) voltage of the capacitor, = 80 V
Determine the value of the effective (rms) voltage of the applied source in the circuit;
Therefore, the value of the effective (rms) voltage of the applied source in the circuit is 132 V.
Average velocity is defined as the ratio in change in position to change in time,
v[ave] = ∆x/∆t
which on its own doesn't have anything to do with acceleration.
<u>If acceleration is constant</u>, the average velocity is the literal average of the initial and final velocities,
v[ave] = (v[final] + v[initial]) / 2
If this constant acceleration has magnitude a, the final velocity can be expressed in terms of the initial velocity by
v[final] = v[initial] + a*t
and plugging this into the previous equation gives
v[ave] = (v[initial] + a*t + v[initial])/2
v[ave] = v[initial] + 1/2*a*t
If the body in consideration is <u>initially at rest</u>, then
v[ave] = 1/2*a*t
which might be the relation you're looking for. But bear in mind the conditions I've underlined.
<u>If acceleration is not constant and changes over time</u>, so that the acceleration is some function of time a(t), then you can determine the velocity function v(t) by using the fundamental theorem of calculus. You need to know a particular velocity for some time to completely characterize v(t), though. For example, if you're given the initial velocity v[initial] = v(0), then
or if you know any other velocity for some time t₀ > 0,