PHYSICS
PHYSICS
5th Edition
ISBN: 2818440038631
Author: GIAMBATTISTA
Publisher: MCG
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Question
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Chapter 5, Problem 84P

(a)

To determine

The radial acceleration of the material in terms of g.

(a)

Expert Solution
Check Mark

Answer to Problem 84P

The radial acceleration is 90g.

Explanation of Solution

The angular speed of centrifuge is 1.0×103rev/min and the radius of rotor is 8.0cm.

Write the relation between the radial acceleration and the angular speed.

ar=ω2r

Here, the radial acceleration is ar, angular speed is ω, and the radius of rotor is r.

Conclusion:

Substitute 1.0×103rev/min for ω and 8.0cm for r in the above equation to find ar.

ar=(1.0×103rev/min(rad1rev)(1min60s))2(8.0cm(1m100cm))(g9.80m/s2)=(1.09×104)(0.0082)g=90g

Therefore, the radial acceleration is 90g.

(b)

To determine

The net force on the red blood cell.

(b)

Expert Solution
Check Mark

Answer to Problem 84P

The net force is 7.9×1011N.

Explanation of Solution

The angular speed of centrifuge is 1.0×103rev/min, radius of rotor is 8.0cm, and the mass of blood cell is 9.0×1014kg.

Write the equation for net force.

Fnet=mar

Here, the net force is Fnet, mass of red blood cell is m.

Conclusion:

Substitute 9.0×1014kg for m and 90g for ar in the above equation to find Fnet.

Fnet=(9.0×1014kg)(90g(9.8m/s2g))=7.9×1011N

Therefore, the net force is 7.9×1011N.

(b)

To determine

The net force on the red blood cell.

(b)

Expert Solution
Check Mark

Answer to Problem 84P

The net force is 7.9×1011N.

Explanation of Solution

The angular speed of centrifuge is 1.0×103rev/min, radius of rotor is 8.0cm, and the mass of blood cell is 9.0×1014kg.

Write the equation for net force.

Fnet=mar

Here, the net force is Fnet, mass of red blood cell is m.

Conclusion:

Substitute 9.0×1014kg for m and 90g for ar in the above equation to find Fnet.

Fnet=(9.0×1014kg)(90g(9.8m/s2g))=7.9×1011N

Therefore, the net force is 7.9×1011N.

(c)

To determine

The net force on the virus particle.

(c)

Expert Solution
Check Mark

Answer to Problem 84P

The net force is 4.4×1018N.

Explanation of Solution

The angular speed of centrifuge is 1.0×103rev/min, radius of rotor is 8.0cm, and the mass of virus is 5.0×1021kg.

Write the equation for net force.

Fnet=mvirusar

Here, the mass of virus is mvirus.

Conclusion:

Substitute 5.0×1021kg for mvirus and 90g for ar in the above equation to find Fnet.

Fnet=(5.0×1021kg)(90g(9.8m/s2g))=4.4×1018N

Therefore, the net force is 4.4×1018N.

(d)

To determine

The radial acceleration inside the ultracentrifuge in terms of g.

(d)

Expert Solution
Check Mark

Answer to Problem 84P

The radial acceleration is 5.0×105g.

Explanation of Solution

The angular speed of centrifuge is 75,000rev/min and the radius of rotor is 8.0cm.

Write the equation for net force.

Write the relation between the radial acceleration and the angular speed.

ar=ω2r

Conclusion:

Substitute 75,000rev/min for ω and 8.0cm for r in the above equation to find ar.

ar=(75,000rev/min(rad1rev)(1min60s))2(8.0cm(1m100cm))(g9.80m/s2)=(61.62)(0.0082)g=5.0×105g

Therefore, the net force is 5.0×105g.

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Chapter 5 Solutions

PHYSICS

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