A revolving searchlight on an island 6 miles from shore turns at the rate of 2 revolutions per minute in the clockwise direction
1 answer:
Answer:
Revolving velocity = 2 km/s
Explanation:
Velocity of circular motion = Radius x Angular velocity.
Angular velocity, ω = 2πf, where f is the frequency of circular motion.
Here frequency, f = 2 revolutions per minute
f = revolutions per second.
Angular velocity, ω = 2πf = 0.209 radians/second.
Radius = 6 miles = 6 x 1.6 x 10³ = 9.6 x 10³ m.
Linear velocity = 9.6 x 10³ x 0.209 = 2006.4 m/s= 2 km/s
Revolving velocity = 2 km/s
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Since,
Speed = Frequency * WaveLength
=> WaveLength = Speed / Frequency --- (A)
Frequency = 13.0 kHz.
As the radio waves are electromagnetic waves, their speed is equals to the speed of light. Therefore,
Speed = C =
Plug in the values in equation(A):
A => WaveLength =
Ans: Wavelength = 23.077 kilometers.
-i
Speed = Frequency * WaveLength
=> WaveLength = Speed / Frequency --- (A)
Frequency = 13.0 kHz.
As the radio waves are electromagnetic waves, their speed is equals to the speed of light. Therefore,
Speed = C =
Plug in the values in equation(A):
A => WaveLength =
Ans: Wavelength = 23.077 kilometers.
-i
Answer:
A)s = 104.16 m
b)s= 104.16 m
Explanation:
Given that
u = 25 m/s
μ = 0.3
The friction force will act opposite to the direction of motion.
Fr= μ m g
Fr= - m a
a=acceleration
μ m g = - m a
a= - μ g
a= - 0.3 x 10 m/s² ( take g= 10 m/s²)
a= - 3 m/s²
The final speed of the mass is zero ,v= 0
We know that
v² = u² +2 a s
s=distance
0² = 25² - 2 x 3 x s
625 = 6 s
s = 104.16 m
By using energy conservation
Work done by all the forces =Change in the kinetic energy
Negative sign because force act opposite to the displacement.
- 3 x 2 x s = - 625
s= 104.16 m