The energy required to bring the centrifuge from rest to a certain speed can be calculated using the formula for rotational kinetic energy:

KE = 0.5 * I * ω^2

where:
KE is the kinetic energy,
I is the rotational inertia, and
ω is the angular velocity.

Given:
I = 5.50 × 10−3 kg m^2
ω = 500 rad/s

Substituting these values into the formula gives:

KE = 0.5 * 5.50 × 10−3 kg m^2 * (500 rad/s)^2

Solving this equation will give the energy required in joules.

Question

The energy required to bring the centrifuge from rest to a certain speed can be calculated using the formula for rotational kinetic energy:

KE = 0.5 * I * ω^2

where:
KE is the kinetic energy,
I is the rotational inertia, and
ω is the angular velocity.

Given:
I = 5.50 × 10−3 kg m^2
ω = 500 rad/s

Substituting these values into the formula gives:

KE = 0.5 * 5.50 × 10−3 kg m^2 * (500 rad/s)^2

Solving this equation will give the energy required in joules.

Knowee AI · Accepted Answer

The energy required to bring the centrifuge from rest to a certain speed can be calculated using the formula for rotational kinetic energy:

KE = 0.5 * I * ω^2

where:
KE is the kinetic energy,
I is the rotational inertia, and
ω is the angular velocity.

Given:
I = 5.50 × 10−3 kg m^2
ω = 500 rad/s

Substituting these values into the formula gives:

KE = 0.5 * 5.50 × 10−3 kg m^2 * (500 rad/s)^2

Solving this equation will give the energy required in joules.

A centrifuge has a rotational inertia of 5.50 × 10−3 kg m2. How much energy must be supplied to bring it from rest to 500 rad/s?