Answer:
a)30.14 rad/s2
b)43.5 rad/s
c)60633 J
d)42 kW
e)84 kW
Explanation:
If we treat the propeller is a slender rod, then its moments of inertia is

a. The angular acceleration is Torque divided by moments of inertia:

b. 5 revolution would be equals to
rad, or 31.4 rad. Since the engine just got started


c. Work done during the first 5 revolution would be torque times angular displacement:

d. The time it takes to spin the first 5 revolutions is

The average power output is work per unit time
or 42 kW
e.The instantaneous power at the instant of 5 rev would be Torque times angular speed at that time:
or 84 kW
Answer:
c)by a factor of four
Explanation:
The total energy of a simple harmonic oscillator is given by

where
k is the spring constant of the oscillator
A is the amplitude of the motion
In this problem, the amplitude of the oscillator is doubled, so
A' = 2A
Therefore, the new total energy is

So, the total energy increases by a factor 4.
Explanation:
The general equation of an AC current is given by :

Where
I₀ is the peak value of current
is angular frequency

So,

We know that,

So, the frequency is 50 Hz and the maximum rms value of current is 14.14 A.
Answer:
8.87 gallons of kerosene
Explanation:
Step 1: Given and required data
- Energy to travel by plane per passenger trip: 1,260 MJ/passenger trip
- Energy per gallon of kerosene: 142 MJ/gal
Step 2: Calculate how many gallons of kerosene it takes to make the trip by plane
We can calculate the amount of kerosene required by combining the factor provided in Step 1.
1 gal/142 MJ × 1,260 MJ/passenger trip = 8.87 gal/passenger trip
8.87 gallons of kerosene are required to make the trip by plane.
It would be "the stars emission spectrum".
Hope this helps