Answer:
Option C
Explanation:
Centripetal acceleration formula regarding velocity and radius is,
![a_c=\frac{v^2}{r}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,
![a_c=\frac{v^2}{r}\\\\9=\frac{v^2}{16} \\\\144=v^2\\\\\sqrt{144}=v \\\\v=12\ m/s](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5C%5C%5C9%3D%5Cfrac%7Bv%5E2%7D%7B16%7D%20%5C%5C%5C%5C144%3Dv%5E2%5C%5C%5C%5C%5Csqrt%7B144%7D%3Dv%20%5C%5C%5C%5Cv%3D12%5C%20m%2Fs)
so velocity is 12 m/s
Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,
![a_c=rw^2](https://tex.z-dn.net/?f=a_c%3Drw%5E2)
we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,
![a_c=rw^2\\\\9=16w^2\\\\0.5625=w^2\\\\\sqrt{0.5625}=w \\\\0.75\ rad/s=w\\](https://tex.z-dn.net/?f=a_c%3Drw%5E2%5C%5C%5C%5C9%3D16w%5E2%5C%5C%5C%5C0.5625%3Dw%5E2%5C%5C%5C%5C%5Csqrt%7B0.5625%7D%3Dw%20%5C%5C%5C%5C0.75%5C%20rad%2Fs%3Dw%5C%5C)
so angular velocity is 0.75 rad/s
Answer:
Explanation:
For flow of heat through conduction , the formula is
Q = KA( T₂ -T₁ ) / d where K is thermal conductivity of material , A is surface area , T₂ - T₁ is temp diff .
Thermal conductivity of aluminum is 205 W /m.s
Surface area of cane = 2π r² + 2π r h where r is radius and h is height of cane .
A = 2π r ( r + h )
= 2 x 3.14 x 1.3 x .0254 ( 1.3 x .0254 + 4.83 x .0254 )
= .20736 ( .033 + .12268 )
A = .03228 m²
thickness d = .12 x 10⁻³ m
Putting the values ,
Q = 205 x .03228 x ( 25 - 4 ) / .12 x 10⁻³
= 1158 x 10³ J /s
Answer:yes
Explanation:yes it can.energy can be converted from one form to another,but cannot be created nor destroyed according to the law of conservation of energy