Answer:
The spring is compressed by 0.275 meters.
Explanation:
For equilibrium of the gas and the piston the pressure exerted by the gas on the piston should be equal to the sum of weight of the piston and the force the spring exerts on the piston
Mathematically we can write
we know that
Now the force exerted by an spring compressed by a distance 'x' is given by
Using the above quatities in the above relation we get
Answer:
Explanation:
Given that:
x(t) = 10 sin(10t) . sin (15t)
the objective is to find the power and the rms value of the following signal square.
Recall that:
sin (A + B) + sin(A - B) = 2 sin A.cos B
x(t) = 10 sin(15t) . cos (10t)
x(t) = 5(2 sin (15t). cos (10t))
x(t) = 5 × ( sin (15t + 10t) + sin (15t-10t)
x(t) = 5sin(25 t) + 5 sin (5t)
From the knowledge of sinusoidial signal Asin (ωt), Power can be expressed as:
For the number of sinosoidial signals;
Power can be expressed as:
As such,
For x(t), Power
For the number of sinosoidial signals;
For x(t), the RMS value is as follows:
Answer:
The current at t= 0 sec, is 0 A
The current at t= 0.5 sec, is 2.2 A
The current at t= 1 sec, is 4.4 A
Explanation:
Given that
q(t) = 2.2 t²
We know that:- the change in the charge w.r.t. time is known as current. So,
q(t) = 2.2 t²
I= 4.4 t
1.
t = 0 s :
I = 4.4 x 0 = 0 A
<u>Therefore, the current at t= 0 sec, is 0 A</u>
2 .
t= 0.5 s :
I = 4.4 x 0.5 = 2.2 A
<u>Therefore, the current at t= 0.5 sec, is 2.2 A</u>
3.
t= 1 s
I = 4.4 x 1 =4.4 A
<u>Therefore, the current at t= 1 sec, is 4.4 A</u>
