Answer:
2440.24 J
Explanation:
Moment of inertia, I1 = 5 kg m^2
frequency, f1 = 3 rps
ω1 = 2 x π x f1 = 2 x π x 3 = 6 π rad/s
Moment of inertia, I2 = 2 kg m^2
Let the new frequency is f2.
ω2 = 2 x π x f2
here no external torque is applied, so the angular momentum remains constant.
I1 x ω1 = I2 x ω2
5 x 6 π = 2 x 2 x π x f2
f2 = 7.5 rps
ω2 = 2 x π x 7.5 = 15 π
Initial kinetic energy, K1 = 1/2 x I1 x ω1^2 = 0.5 x 5 x (6 π)² = 887.36 J
Final kinetic energy, K2 = 1/2 x I2 x ω2^2 = 0.5 x 3 x (15 π)² = 3327.6 J
Work done, W = Change in kinetic energy = 3327.6 - 887.36 = 2440.24 J
Answer:
D
Explanation:
Our answer choices are:
- A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.
- A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
- A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
Let's try the first one. We can just choose any temperature and then use the number 1 larger than it; let's do F = 10:
C = (5/9) * (10 - 32) = (5/9) * (-22) ≈ -12.2
When F = 10 + 1 = 11:
C = (5/9) * (11 - 32) = (5/9) * (-21) ≈ -11.7
We see that indeed, -11.7 - (-12.2) ≈ 0.56 ≈ 5/9, so the first is correct.
For the second, let's see what happens when C = 10 and when C = 11:
10 = (5/9) * (F - 32)
F = 50
11 = (5/9) * (F - 32)
F = 51.8
Again we see that indeed 51.8 - 50 = 1.8
So, the second choice is also correct.
Thus, the answer is D.
Can you provide more information? Who is Danny?
The run number is an index to complete factory records on exactly how a specific sheet of laminate was produced. If you have a technical service problem to be solved by the Product Quality Laboratory, provide the run number for the problem material.
