Answer:
Natural frequency=21.40 Hz
Time= 0.2936 seconds
Explanation:
Idealizing the question as a cantilever beam with point load of mass M as 20 tons
Lateral stiffness, where l is length given as 10 m, E is Young’s modulus given as 30GPa and I is inertia where for a circular cross-section is given by
k== 9160884.178
k=
To find the frequency, , the mass m is given as 20 tons or 20000 Kg
=21.40196741 Hz
Natural frequency=21.40 Hz
Time period,
T==0.2935798 seconds
T=0.2936 seconds
Answer:
The frequency the motorcyclist hears is 601.60 Hz
Explanation:
The Doppler effect is a physical phenomenon where an apparent change in wave frequency is presented by a sound source with respect to its observer.
The following expression is considered the general case of the Doppler effect:
Where:
f ’, f: Frequency perceived by the receiver and frequency emitted by the emitter respectively. Its unit of measurement in the International System (S.I.) is hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s-1)
v: propagation speed of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 34o m / s
vR, vE: Receiver and emitter speed respectively. Your unit of measure in the S.I. is the m / s
±, ∓:
The + sign is used:
- In the numerator if the receiver approaches the sender
.
- In the denominator if the emitter moves away from the receiver
.
The sign - is used:
- In the numerator if the receiver moves away from the sender
.
- In the denominator if the emitter approaches the receiver.
In this case:
- f: 523 Hz:
- v= 340 m/s
- vR= 13.6 m/s
- vE= 32.6 m/s
-
The emitter approaches the receiver, so the + sign is used in the numerator and the - sign is used in the denominator.
Replacing:
Solving:
f' = 601.60 Hz
<u><em>
The frequency the motorcyclist hears is 601.60 Hz</em></u>
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<h2>
Answer:</h2>
6C
<h2>
Explanation:</h2>
The quantity of charge, Q, passing through an electric circuit is dependent on the electric current, I, and the time taken, t, for the current to flow. It is given mathematically as follows
Q = I x t ------------------------------(i)
Where;
I is measured in Amperes(A)
t is measured in seconds (s)
Q is measure in coulombs (C)
<em>From the question,</em>
I = 3A
t = 2s
<em>Substitute these values into equation (i) as follows;</em>
Q = 3 x 2
Q = 6C
Therefore, the number of coulombs of charge that will pass is 6C