(A) 
The energy stored by the system is given by
where
P is the power provided
t is the time elapsed
In this case, we have
P = 60 kW = 60,000 W is the power
t = 7 is the time
Therefore, the energy stored by the system is
(B) 4830 rad/s
The rotational energy of the wheel is given by
(1)
where
is the moment of inertia
is the angular velocity
The moment of inertia of the wheel is
where M is the mass and R the radius of the wheel.
We also know that the energy provided is
So we can rearrange eq.(1) to find the angular velocity:
(C) 
The centripetal acceleration of a point on the edge is given by
where
is the angular velocity
R = 0.12 m is the radius of the wheel
Substituting, we find
Answer:
5s
Explanation:
-A period is the time it takes to make one full back-and-forth swing.
-A period is calculated as the time taken for a complete swing divided by one cycle:
Hence, the period of the pendulum is 5s
Answer:
10.8 s
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 0 m/s
Acceleration (a) = 5 m/s/s
Distance travelled (s) = 291 m
Time (t) taken =?
We can calculate the time taken for the car to cover the distance as follow:
s = ut + ½at²
291 = 0 × t + ½ × 5 × t²
291 = 0 + 2.5 × t²
291 = 2.5 × t²
Divide both side by 2.5
t² = 291 / 2.5
t² = 116.4
Take the square root of both side
t = √116.4
t = 10.8 s
Thus, it will take the car 10.8 s to cover the distance.
Answer:
v=14.14 m/s
t=1.141 s
Explanation:
Given that
h = 10 m
Initial velocity ,u = 0 m/s
We know that acceleration due to gravity g= 10 m/s²
Lets take final velocity = v
Final velocity v is given as
v² = u²+ 2 g h
v²= 0² + 2 x 10 x 10
v²= 200
v=14.14 m/s
Time taken t is given as
v= u + a t
a=acceleration
t=time
Now by putting the values in the above equation we get
14.14= 0 + 10 x t
14.14 = 10 t
t=1.141 s
The electromagnetic spectrum is divided into seven different frequency ranges which are from lowest to highest, radio waves, microwaves, infrared, visible light, ultraviolet, X-rays and gamma rays.
The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves found within each of these bands are referred to by a different name. Starting at the low frequency(long wavelength), end of the spectrum, these are radio waves, micro waves, infrared, visible light, ultraviolet, x-rays and gamma rays. This frequency range is divided into separate bands.
To know more about electromagnetic waves:
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