Answer: 32pF
Explanation:
The <u>capacitance</u> of a parallel plate capacitor is given by the following equation:
Where:
is the <u>electric constant when the dielectric material is vacuum</u>
is the <u>area of each plate</u>
is the <u>separation distance between both plates</u>
This is the capacitance when the dielectric is vacuum.
Now, we can calculate the capacitance , when we have a dielectric material with a dielectric constant :
Finally:
'D' is one way to increase the current. Another way is to increase the voltage. / / / It's possible that 'C' might also be a true statement. We don't know; because we can't see it.
A mass balance is used to measure the mass in an object.
Answer:
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Answer:
2.23 Hz
Explanation:
From the attached diagram below; there exists a diagrammatic representation of the equilibrium position of the cylinder.
The equilibrium position of the spring is expressed as:
mg = K
where;
m = mass of the object
g = acceleration due to gravity
K = spring constant
= static deflection of the string
Given that:
m = 30 kg
g = 9.81 m/s²
= 50 mm = 50 ×
= 0.05 m
Then;
From here; let us find the angular velocity which will be needed to determine the natural frequency aftewards.
The angular velocity of the cylinder can be expressed by the formula:
Finally; the natural frequency can be calculated by using the equation
= 2.229305729
≅ 2.23 Hz
Thus; the resulting natural frequency of the vertical vibration of the cylinder = 2.23 Hz