Answer:
Explanation:
Given
diameter
runner start at (x,y)=(48 m,0 m)
Runner runs around the circle 2.5 times
i.e. he runs two and half rounds
displacement of two rounds is zero so net displacement is of half round
displacement
After 2.5 round he will be towards west direction with respect to origin
so direction of displacement vector is west
Answer:
The magnitude of the magnetic force exerted on the moving charge by the current in the wire is 2.18 x N
The direction of the magnetic force exerted on the moving charge by the current in the wire is radially inward
Explanation:
given information:
current, I = 3 A
= +6.5 x C
r = 0.05 m
v = 280 m/s
and direction of the magnetic force exerted on the moving charge by the current in the wire, we can use the following formula:
F = qvB sin θ
where
F = magnetic force (N)
q = electric charge (C)
v = velocity (m/s)
θ = the angle between the velocity and magnetic field
to find B we use
B = μI/2πr
μ = 4π x or 1.26 x N/ , thus
B = 4π x x 3 / 2π(0.05)
= 1.2 x T
Now, we can calculate the magnitude force
F = qvB sin θ
θ = 90°, because the speed and magnetic are perpendicular
F = 6.5 x x 280 x 1.2 x sin 90°
= 2.18 x N
Using the hand law, the magnetic direction is radially inward
Answer:
The displacement in t = 0,
y (0) = - 0.18 m
Explanation:
Given f = 40 Hz , A = 0.25m , μ = 0.02 kg / m, T = 20.48 N
v = √ T / μ
v = √20.48 N / 0.02 kg /m = 32 m/s
λ = v / f
λ = 32 m/s / 40 Hz = 0.8
K = 2 π / λ
K = 2π / 0.8 = 7.854
φ = X * 360 / λ
φ = 0.5 * 360 / 0.8 = 225 °
Using the model of y' displacement
y (t) = A* sin ( w * t - φ )
When t = 0
y (0) = 0.25 m *sin ( w*(0) - 225 )
y (0) = 0.25 * -0.707
y (0) = - 0.18 m
The rms voltage will be 82.7 v
<h3>What is rms voltage?</h3>
"RMS" stands for Root Mean Square and is a way of describing the amount of AC voltage or current in terms that are functionally equivalent to DC. For example, 10 Volts AC RMS is the amount of voltage that will produce the same amount of heat dissipation in a given value resistor as a 10 Volts DC power supply.
The root mean square (rms) voltage of a sinusoidal source of emf (Vrms) is used to characterize the source. It is the square root of the square of the time-averaged voltage. The value of Vrms is v₀/√2 or equivalently 0.707 v₀
For the given question:
At the same time interval same heat is produced. Therefore, power in both DC and AC will also be same.
So the rms voltage will be:
= 117.0/√2
= 117.0 × 0.7071
= 82.7 v
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Answer:
So, the correct answer is 'Melatonin'.
Explanation:
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