The speed that a tsunami can travel is modeled by the equation , where s is the speed in kilometers per hour and d is the averag
1 answer:
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Answer:
The inductor contains loops
Explanation:
From the question we are told that
The capacitance of the capacitor is
The resonance frequency is
The diameter is
The of the air-core inductor is
The permeability of free space is
Generally the inductance of this air-core inductor is mathematically represented as
This inductance can also be mathematically represented as
Where is the angular speed mathematically given as
So
Now equating the both formulas for inductance
making N the subject of the formula
Substituting value
loops
Answer:
v_max = (1/6)e^-1 a
Explanation:
You have the following equation for the instantaneous speed of a particle:
(1)
To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:
(2)
where you have use the derivative of a product.
Next, you equal the expression (2) to zero in order to calculate t:
For t = 1/6 you obtain the maximum speed.
Then, you replace that value of t in the expression (1):
hence, the maximum speed is v_max = ((1/6)e^-1)a