Lorraine Harvey

2022-01-06

A 2.0 kg, 20cm-diameter turntable rotates at 100 rpm on frictionless bearings. Two 500 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. What is the turntable’s angular velocity, in rpm, just after this event?

abonirali59

Beginner2022-01-07Added 35 answers

The mas of turntable $M=2Kg$

Diameter of the turntable $d=20cm=0.2m$

Angular velocity $\omega =10r\pm =100\times \frac{2\pi}{60}=10.47ra\frac{d}{s}$

Mass of the two blocks $m=500g=0.5kg$

To determine the turntable's angular velocity once the two blocks stick with it. When the two blocks collide, the moment of inertia of the entire system changes, causing the angular velocity of the system to change. The angular velocity of the turntable can be calculated using conservation of angular momentum:

$L}_{\in itial}={L}_{f\in al$

$I}_{turntab\le}\omega ={I}_{block}{\omega}^{\prime}+{I}_{turntable}{\omega}^{\prime}+{I}_{block2}{\omega}^{\prime$

${\omega}^{\prime}\ne w\text{}angular\text{}velocity$

$\omega}^{\prime}=\frac{{I}_{turntable}\omega}{{I}_{block}{\omega}^{\prime}+{I}_{turntable}{\omega}^{\prime}+{I}_{block2}{\omega}^{\prime}$

${I}_{turntable}=M\frac{{r}^{2}}{2}=2\times \frac{{0.1}^{2}}{2}=0.01$

$I}_{block1}=m{r}^{2}0.5\times {0.1}^{2}=0.005={I}_{block2$

$\omega}^{\prime}=\frac{0.01\times 10.47}{0.005+0.01+0.005$

$=5.235ra\frac{d}{s}$

$=5.235\times \frac{60}{2\pi}=50r\pm$

22+64

When a cold drink is taken from a refrigerator, its temperature is 5 degree C. After 25 minutes in a 20 degree C room its temperature has increased to 10 degree C. What is the temperature of the drink after 50 minutes?

How many minutes are there in $2\frac{3}{5}$ hours?

Find the answer for $64$ power $\frac{1}{6}$.

The following law describes the relationship between gas volume and pressure: ________. A)Boyle's law; B)Henry's law; C)Charles' law; D)Dalton's law

If an electric switch is open then no current flows through the circuit.

A)True;

B)FalseThe price elasticity of supply of a good is 0.8. Its price rises by 50 per cent. Calculate the percentage increase in its supply.

How many quarts are in 10 gallons?

When the net force acting on an object is zero, the total momentum of the system will:

A)remain constant;

B)increase with time;

C)decrease with time;

D)None of theseHow many centimeters are in four meters?

A notebook computer has a mass of 2.25 kilograms. About how many pounds does the notebook weigh?

If the dot product of two non-zero vectors is zero, then the vectors A)are parallel to each other. B)are perpendicular to each other. C)can have any orientation. D)are anti-parallel to each other.

Which is longer 5 miles or 10 kilometers?

9 grams is how many milligrams?

How to write $673.5$ in scientific notation?