Answer:

Explanation:
Given that,
Speed of the car, v = 40 mph
Energy required, 
Radius of the flywheel, r = 0.6 m
Mass of flywheel, m = 400 kg
The kinetic energy of the disk is given by :

I is the moment of inertia of the disk, 




or

So, the angular speed of the disk is 943 rad/s. Hence, this is the required solution.
Answer:
1.04%
Explanation:
Given that,
The power of drill = 3.5 kW = 3500 W
Transferred kinetic energy = 5000 kJ during 15 seconds of use.
We need to find the percentage efficiency of the drill. It can be given by :

Where
Po and Pi are output and input powers.

So,

So, the percentage efficiency of the drill is 1.04%.
Answer:
Explanation:
initial angular velocity, ωo = 0 rad/s
angular acceleration, α = 30.5 rad/s²
time, t = 9 s
radius, r = 0.120 m
let the velocity is v after time 9 s.
Use first equation of motion for rotational motion
ω = ωo + αt
ω = 0 + 30.5 x 9
ω = 274.5 rad/s
v = rω
v = 0.120 x 274.5
v = 32.94 m/s
The speed of a wave is dependant on four factors: wavelength, frequency, medium, and temperature.
m = mass of the birdcage = 22.5 kg
F = net force acting on birdcage to move it = 140 N
a = acceleration produced due to the force applied
a)
Using newton's second law
a = F/m
inserting the values
a = 140/22.5
a = 6.22 m/s²
b)
t = time of travel of crate = 10.5 s
v₀ = initial velocity of the crate = 0 m/s
X = displacement of the crate
displacement of the crate is given as
X = v₀ t + (0.5) a t²
X = 0 (10.5) + (0.5) (6.22) (10.5)²
X = 342.88 m