Answer:
62.64 RPM.
Explanation:
Given that
m= 4.6 g
r= 19 cm
μs = 0.820
μk = 0.440.
The angular speed of the turntable = ω rad/s
Condition just before the slipping starts
The maximum value of the static friction force =Centripetal force
![\mu_s\ m g=m\ \omega^2\ r\\ \omega^2=\dfrac{\mu_s\ m g}{m r}\\ \omega=\sqrt{\dfrac{\mu_s\ g}{ r}}\\ \omega=\sqrt{\dfrac{0.82\times 10}{ 0.19}}\ rad/s\\\omega= 6.56\ rad/s](https://tex.z-dn.net/?f=%5Cmu_s%5C%20m%20g%3Dm%5C%20%5Comega%5E2%5C%20r%5C%5C%20%5Comega%5E2%3D%5Cdfrac%7B%5Cmu_s%5C%20m%20g%7D%7Bm%20r%7D%5C%5C%20%5Comega%3D%5Csqrt%7B%5Cdfrac%7B%5Cmu_s%5C%20%20g%7D%7B%20r%7D%7D%5C%5C%20%5Comega%3D%5Csqrt%7B%5Cdfrac%7B0.82%5Ctimes%2010%7D%7B%200.19%7D%7D%5C%20rad%2Fs%5C%5C%5Comega%3D%096.56%5C%20rad%2Fs)
![\omega=\dfrac{2\pi N}{60}\\N=\dfrac{60\times \omega}{2\pi }\\N=\dfrac{60\times 6.56}{2\pi }\ RPM\\N=62.64\ RPM](https://tex.z-dn.net/?f=%5Comega%3D%5Cdfrac%7B2%5Cpi%20N%7D%7B60%7D%5C%5CN%3D%5Cdfrac%7B60%5Ctimes%20%5Comega%7D%7B2%5Cpi%20%7D%5C%5CN%3D%5Cdfrac%7B60%5Ctimes%206.56%7D%7B2%5Cpi%20%7D%5C%20RPM%5C%5CN%3D62.64%5C%20RPM)
Therefore the speed in RPM will be 62.64 RPM.
Answer:
Hey guess what there's no question genius
Explanation:
Answer:
1421 seconds or 23.67 minutes
Explanation:
Q = Heat = 1200 W
c = Specific heat of human body = 3480 J/kgK
= Change in temperature = (44-37)°C
t = Time taken
![Q=\dfrac{mc\Delta T}{t}\\\Rightarrow t=\dfrac{mc\Delta T}{Q}\\\Rightarrow t=\dfrac{70\times 3480\times (44-37)}{1200}\\\Rightarrow t=1421\ s](https://tex.z-dn.net/?f=Q%3D%5Cdfrac%7Bmc%5CDelta%20T%7D%7Bt%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7Bmc%5CDelta%20T%7D%7BQ%7D%5C%5C%5CRightarrow%20t%3D%5Cdfrac%7B70%5Ctimes%203480%5Ctimes%20%2844-37%29%7D%7B1200%7D%5C%5C%5CRightarrow%20t%3D1421%5C%20s)
The time student jogs before irreversible body damage occurs is 1421 seconds or 23.67 minutes
<span>59.027m/s^2
Centripetal force is give by F = mv^2/r
Since
F = ma
The acceleation accoiated with this centripetal force is
a=v^2/r
the radius is found by r=d/2=5.75m
velocity is found by
v=d/t
distance is the circumference of the circle
c=pi*d=11.5*3.14=36.11m
time=60s/30.6rpm=1.96s
v=36.11/1.96=18.423m/s
plugging this back in to
a=v^2/r=(18.423m/s)^2/5.75m=59.027m/s^2</span>
Answer:
b. 0 J
Explanation:
Work is the cross product of force and displacement. Since the bucket has 0 displacement, the net work is 0 J.