Final answer:
To calculate the centripetal force experienced by a mass in an ultracentrifuge, you need to use the formula F = m * ac. The centripetal acceleration (ac) can be calculated using the formula ac = r * ω^2, where r is the radius and ω is the angular velocity. Substituting the given values into the equations will allow you to calculate the centripetal force.
Step-by-step explanation:
To calculate the centripetal force experienced by a mass in an ultracentrifuge, we need to use the formula for centripetal force:
F = m * ac
Where:
F is the centripetal force
m is the mass
ac is the centripetal acceleration
The centripetal acceleration can be calculated using the formula:
ac = r * ω2
Where:
r is the radius
ω is the angular velocity
Given:
Radius (r) = 12.3 cm = 0.123 m
Angular velocity (ω) = 7 * 104 rev/min = 7 * 104 * (2 π/60) rad/s
Mass (m) = 2.90 g = 0.00290 kg
Substituting these values into the equations:
Radius (r) = 0.123 m
Angular velocity (ω) = 7 * 104 * (2 π/60) rad/s
Using the formula for centripetal acceleration:
ac = r * ω2
we can calculate the centripetal acceleration, which is needed to calculate the centripetal force.
Finally, we can calculate the centripetal force using the formula:
F = m * ac
Calculating the value of the centripetal force will give us the answer to the question.