Answer:

Explanation:
means initial angular velocity, which is 0 rev/min
means final angular velocity, which is 
t means time t= 3.20 s
one revolution is equivalent to 2πrad so the final angular velocity is:
= (2π/60) *2.513*10^{4} rad/s
= 2628.5 rad/s
so the angular acceleration, α will be:
α = 2628.5 rad/s / 3.20 s

so the rotational motion about a fixed axis is:
+ 2αΔTita where ΔTita is the angle in radians
so now find the ΔTita the subject of the formula
ΔTita = 


Complete question is;
The energy flow to the earth from sunlight is about 1.4kW/m²
(a) Find the maximum values of the electric and magnetic fields for a sinusoidal wave of this intensity.
(b) The distance from the earth to the sun is about 1.5 × 10^(11) m. Find the total power radiated by the sun.
Answer:
A) E_max ≈ 1026 V/m
B_max = 3.46 × 10^(-6) T
B) P = 3.95 × 10^(26) W
Explanation:
We are given;
Intensity; I = 1.4kW/m² = 1400 W/m²
Formula for maximum value of electric field in relation to intensity is given as;
E_max = √(2I/(ε_o•c))
Where;
ε_o is electric constant = 8.85 × 10^(-12) C²/N.m²
c is speed of light = 3 × 10^(8) m/s
Thus;
E_max = √(2 × 1400)/(8.85 × 10^(-12) × 3 × 10^(8)))
E_max ≈ 1026 V/m
Formula for maximum magnetic field is;
B_max = E_max/c
B_max = 1026/(3 × 10^(8))
B_max = 3.46 × 10^(-6) T
Formula for the total power is;
P = IA
Where;
A is area = 4πr²
We are given;
Radius; r = 1.5 × 10^(11) m
A = 4π × (1.5 × 10^(11))² = 2.82 × 10^(23) m²
P = 1400 × 2.82 × 10^(23)
P = 3.95 × 10^(26) W
This is a beautiful problem to test whether a student actually understands
Newton's 2nd law of motion . . . Force = (mass) x (acceleration).
That simple law is all you need to solve this problem, but you need to
use it a few times.
m₁ alone:
Force = (mass) x (acceleration)
36 N = ( m₁ ) x (6 m/s²)
m₁ = (36 N) / (6 m/s²)
m₁ = 6 kilograms .
m₁ and m₂ glued together:
Force = (mass) x (acceleration)
36 N = (6 kg + m₂) x (2 m/s²)
6 kg + m₂ = (36 N) / (2 m/s²) = 18 kilograms
m₂ = 12 kilograms .
m₂ alone:
Force = (mass) x (acceleration)
36 N = (12 kg) x (acceleration)
Acceleration = (36 N) / (12 kg)
Acceleration = 3 m/s²
Answer:
Sure, the frequency is 500Hz
Explanation:
Sure, the frequency can be calculated. The needed information which is the speed and wavelength of the wave are known.
Wavelength is the distance between two successive crest and trough of a wave.
Using the relationship
V = fλ
V is the speed of wave
F is the frequency
λ is the wavelength
f = v/λ
Given v = 100m/s, λ = 10cm/0.5 = 20cm
20cm = 0.2m
f = 100/0.2
f = 500Hertz
Answer:
Energy is the ability to do work or cause change. There are two kinds of energy – kinetic energy when something is moving, and potential energy, which is energy that is stored and ready to be used. All objects have potential energy or stored energy if they are placed in a certain position.