Answer:
Explanation:
Hello,
Let's get the data for this question before proceeding to solve the problems.
Mass of flywheel = 40kg
Speed of flywheel = 590rpm
Diameter = 75cm , radius = diameter/ 2 = 75 / 2 = 37.5cm.
Time = 30s = 0.5 min
During the power off, the flywheel made 230 complete revolutions.
∇θ = [(ω₂ + ω₁) / 2] × t
∇θ = [(590 + ω₂) / 2] × 0.5
But ∇θ = 230 revolutions
∇θ/t = (530 + ω₂) / 2
230 / 0.5 = (530 + ω₂) / 2
Solve for ω₂
460 = 295 + 0.5ω₂
ω₂ = 330rpm
a)
ω₂ = ω₁ + αt
but α = ?
α = (ω₂ - ω₁) / t
α = (330 - 590) / 0.5
α = -260 / 0.5
α = -520rev/min
b)
ω₂ = ω₁ + αt
0 = 590 +(-520)t
520t = 590
solve for t
t = 590 / 520
t = 1.13min
60 seconds = 1min
X seconds = 1.13min
x = (60 × 1.13) / 1
x = 68seconds
∇θ = [(ω₂ + ω₁) / 2] × t
∇θ = [(590 + 0) / 2] × 1.13
∇θ = 333.35 rev/min
Answer:
The magnitude of the voltage is and the direction of the current is clockwise.
Explanation:
Given that,
Number of turns = 9
Magnetic field = 0.5 T
Diameter = 3 cm
Time t = 0.14 s
We need to calculate the flux
Using formula of flux
Put the value into the formula
We need to calculate the emf
Using formula of emf
Negative sign shows the direction of current.
Hence, The magnitude of the voltage is and the direction of the current is clockwise.
1.) potential energy
2.)potential and kinetic
3.)The roller coaster car has the most kinetic energy at point X i know this because the car is moving and kinetic energy has the power to move or change things therefore point X is when the roller coaster car has the most energy.
4.)potential energy
5.)kinetic energy
6.) potential and kinetic energy
Answer:
340.67 kgm²/s
Explanation:
R = Radius of merry-go-round = 1.9 m
I = Moment of inertia = 209 kgm²
= Initial angular velocity = 1.63 rad/s
m = Mass of person = 73 kg
v = Velocity = 4.8 m/s
Initial angular momentum is given by
The initial angular momentum of the merry-go-round is 340.67 kgm²/s
Answer:
346 * 10⁶ m
Explanation:
The force of gravity of the earth that will cancel the the force of gravity exerted by the moon will be equal to each other
Let be the force of gravity exerted by the earth
and let be the force of gravity exerted by the moon
According to Newton's law of universal gravitation, the force of attraction between two different masses, m₁ and m₂ separated by a distance, d, is given by:
Mass of the earth,
Mass of the moon,
Mass of the satellite,
...............................(1)
The earth and the moon are separated by a distance, 3.844 * 10⁸ m
............................(2)
Equating equations (1) and (2)
Factorising out
Solving for d in the quadratic equation above:
d = 346 * 10⁶ m