A CD has a mass of 16.0 g and a radius of 6.03 cm. When inserted into a player, the CD starts from rest and accelerates to an angular velocity of 19.5 rad/s in 0.685 s. Assuming the CD is a uniform solid disk, determine the net torque acting on it

The net torque acting on the CD is .

Explanation:

According to the D'Alembert's Principle, net torque of a rigid body is equal to the product of the moment of inertia with respect to its center of gravity and angular acceleration. That is:

Where:

- Net torque, measured in Newton-meters.

- Moment of inertia, measured in kilogram-square meters.

- Angular acceleration, measured in radians per square second.

The moment of inertia of a solid disk is:

Given that and , the moment of inertia of the CD is:

Let suppose that CD accelerates constantly, so that motion equation is the following:

Finally, the net torque acting on the CD is:

The net torque acting on the CD is .

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.