Answer:
The moment of inertia will be increased by a factor of 1575
Explanation:
Let the moment of inertia of a wheel be given as;
where;
I is the moment of inertia of the wheel
m is mass of the wheel
r is radius of the wheel
when the mass is increased by a factor of 7 and the radius is increased by a factor of 15
![I_1 = \frac{1}{2}mr^2\\ \\I_2 = \frac{1}{2}(7m)(15r)^2\\\\I_2 = \frac{1}{2}(7m)(225r^2)\\\\I_2 = 7\times 225[\frac{1}{2}(mr^2)]\\\\I_2 = 1575[\frac{1}{2}(mr^2)]\\\\Recall, \frac{1}{2}(mr^2) = I_1 \\\\I_2 = 1575 I_1](https://tex.z-dn.net/?f=I_1%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmr%5E2%5C%5C%20%5C%5CI_2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%287m%29%2815r%29%5E2%5C%5C%5C%5CI_2%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%287m%29%28225r%5E2%29%5C%5C%5C%5CI_2%20%3D%207%5Ctimes%20225%5B%5Cfrac%7B1%7D%7B2%7D%28mr%5E2%29%5D%5C%5C%5C%5CI_2%20%3D%201575%5B%5Cfrac%7B1%7D%7B2%7D%28mr%5E2%29%5D%5C%5C%5C%5CRecall%2C%20%5Cfrac%7B1%7D%7B2%7D%28mr%5E2%29%20%3D%20I_1%20%5C%5C%5C%5CI_2%20%3D%201575%20I_1)
Thus, the moment of inertia will be increased by a factor of 1575
Answer:
For the purposes of your question, we can think of speed and velocity as being the same thing. Therefore, the kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four.
Explanation:
A relationship exists and the numbers cause one another can be said about two numbers that have either a positive or negative correlation
Option : C
<u>Explanation:</u>
When two numbers have positive correlation, they move in the same direction. If the first variable increases, the second one also increases and if one variable decreases the other one also decreases.If the two numbers have negative correlation, the two numbers move in opposite directions.
A relationship exists between two numbers and the number cause one another. A correlation means that changing one variable affects the other. Correlation among variables need not necessarily imply causation. Positive correlations are mostly used in Finance and stock markets.
M/s2 is the SI of an acceleration.
a couple of things that are necessary to measure this :
- use the timing resources to measure the duty cycle
- performing a computationally intensive division operation
Answer:
26
Explanation:
Total power of the circuit
P = V × I = 120 × 20 = 2400 W
Power of each bulb = 90 W
Number of bulbs which work without tripping
N = power of circuit / power of each bulb
N = 2400 / 90
N = 26.66
Number of bulbs should be integer so the number of bulbs be 26.
