Answer:
Answer: The height of the apple from the ground is at 49552.61071 m or is approximately at 5.0 × 10 m.
P = IV,
P = Power in Watts, I = Current in Ampere, V = Voltage in Volts.
Current, I = P/ V = 500 w/ 120v ≈ 4.17 A
The angular acceleration of the larger camshaft is 995.72 rad/s².
The given parameters;
- <em>initial angular velocity, </em>
<em> = 0</em> - <em>time of motion, t = 0.032 s</em>
- <em>radius of the crankshaft, r = 3.75 cm </em>
- <em>final angular speed, </em>
<em> = 1250 rpm </em>
The angular acceleration of the 3.75 cm camshaft is calculated as follows;
![\omega _f = \omega _i + \alpha t\\\\\omega _f =0 + \alpha t\\\\\omega _f = \alpha t\\\\(1250 \ \frac{rev}{\min} \times \frac{2 \pi \ rad}{rev} \times \frac{1\min}{60 \ s} ) = 0.032 \alpha \\\\130.92 = 0.032\alpha \\\\\alpha = \frac{130.92}{0.032} = 4091.25 \ rad/s^2](https://tex.z-dn.net/?f=%5Comega%20_f%20%3D%20%5Comega%20_i%20%2B%20%5Calpha%20t%5C%5C%5C%5C%5Comega%20_f%20%3D0%20%2B%20%5Calpha%20t%5C%5C%5C%5C%5Comega%20_f%20%3D%20%20%5Calpha%20t%5C%5C%5C%5C%281250%20%5C%20%5Cfrac%7Brev%7D%7B%5Cmin%7D%20%5Ctimes%20%5Cfrac%7B2%20%5Cpi%20%5C%20rad%7D%7Brev%7D%20%5Ctimes%20%5Cfrac%7B1%5Cmin%7D%7B60%20%5C%20s%7D%20%29%20%3D%200.032%20%5Calpha%20%5C%5C%5C%5C130.92%20%3D%200.032%5Calpha%20%5C%5C%5C%5C%5Calpha%20%3D%20%5Cfrac%7B130.92%7D%7B0.032%7D%20%3D%204091.25%20%5C%20rad%2Fs%5E2)
The angular momentum of the camshaft is calculated as follows;
![I_1 \alpha _1 = I_2 \alpha_2 \\\\\frac{1}{2} mr_1^2 \alpha _1 = \frac{1}{2}m R^2 \alpha_2\\\\r_1^2 \alpha _1 = R^2 \alpha_2\\\\\alpha_2 = \frac{r_1^2 \alpha _1 }{R^2} \\\\\alpha_2 =\frac{(0.037)^2 \times (4091.25)}{(0.075)^2} \\\\\alpha _2 = 995.72 \ rad/s^2](https://tex.z-dn.net/?f=I_1%20%5Calpha%20_1%20%3D%20I_2%20%5Calpha_2%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%20mr_1%5E2%20%5Calpha%20_1%20%20%3D%20%5Cfrac%7B1%7D%7B2%7Dm%20R%5E2%20%20%5Calpha_2%5C%5C%5C%5Cr_1%5E2%20%5Calpha%20_1%20%20%3D%20%20R%5E2%20%20%5Calpha_2%5C%5C%5C%5C%5Calpha_2%20%3D%20%5Cfrac%7Br_1%5E2%20%5Calpha%20_1%20%7D%7BR%5E2%7D%20%5C%5C%5C%5C%5Calpha_2%20%3D%5Cfrac%7B%280.037%29%5E2%20%5Ctimes%20%284091.25%29%7D%7B%280.075%29%5E2%7D%20%5C%5C%5C%5C%5Calpha%20_2%20%3D%20995.72%20%5C%20rad%2Fs%5E2)
Thus, the angular acceleration of the larger camshaft is 995.72 rad/s².
Learn more here:brainly.com/question/14695341
Answer:
C
Explanation:
Constellations are stellar patterns which are made out of bright stars which appears close to each other and can form a recognisable pattern.
But that does not mean these stars are actually close to each other. The sky that we see from Earth appears as a 2D representation of a 3D Space. If you look in a particular direction in sky you will see all the stars in that direction irrespective of their actual distance from the Earth and hence these stars can be practically very far from each other too.