As a bat flies toward a wall at a speed of 6.0 m/s, the bat emits an ultrasonic sound wave with frequency 30.0 kHz. What frequen
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Answer:
a) fem = 5.709 V, b) t = 0.196 s, c) t = 0.589 s, d) T = 0.785 s
Explanation:
This is an exercise in Faraday's law
fem= - N
fem = - N
The magnetic field and the area are constant
fem = - N B A
fem = - N B A (-sin θ)
fem = N B (π d² / 4) sin θ w
fem= N B d² w sin θ
with this expression we can correspond the questions
a) the peak of the electromotive force
this hen the sine of the angle is 1
sin θ = 1
fem = 77 1.18 0.10² 8.0
fem = 5.709 V
b) as the system has a constant angular velocity, we can use the angular kinematics relations
θ = w₀ t
t = θ/w₀
Recall that the angles are in radians, so the angle for the maximum of the sine is
θ= π/2
t =
t = 0.196 s
c) for the electromotive force to be negative, the sine function of being
sin θ= -1
whereby
θ = 3π/ 2
t =
t = 0.589 s
d) This electromotive force has values that change sinusoidally with an angular velocity of
w = 8 rad / s
angular velocity and period are related
w = 2π / T
T = 2π / w
T = 2π / 8
T = 0.785 s
0.0034L
Explanation:
Given parameters:
Number of molecules of oxygen gas = 9.23 x 10¹⁹molecules
Unknown:
Volume of oxygen = ?
Solution:
Assuming the gas is at standard temperature and pressure conditions;
Volume of gas = number of moles x 22.4
we need to find the number of moles of the oxygen gas;
number of moles = }[/tex]
Number of moles = }{6.02 x 10
}[/tex]
Number of moles = 1.53 x 10⁻⁴moles
Volume of gas = 1.53 x 10⁻⁴ x 22.4 = 0.0034L
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