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3 years ago

How to use Da Vinci flying pedulum clock

1 answer:

8 0

Da Vinci was fascinated by how timepieces operate. Based on one of his sketches, it uses the laws of motion and a vertical "flying" pendulum escapement to keep accurate time.
The pendulum's weights, in a bucket suspended from a crane-style arm, act as the clock's power source. The weights propel the pendulum from vertical post to vertical post. As it "flies" it turns precision gears, which in turn keep time. To speed up or slow the clock, adjust the weight-balance of the pendulum by adding or removing weights.

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A merry-go-round with a rotational inertia of 600 kg m2 and a radius of 3. 0 m is initially at rest. A 20 kg boy approaches the

Margaret [11]

Hi there!

$\boxed{\omega = 0.38 rad/sec}$

We can use the conservation of angular momentum to solve.

$\large\boxed{L_i = L_f}$

Recall the equation for angular momentum:

$L = I\omega$

We can begin by writing out the scenario as a conservation of angular momentum:

$I_m\omega_m + I_b\omega_b = \omega_f(I_m + I_b)$

$I_m$ = moment of inertia of the merry-go-round (kgm²)

$\omega_m$ = angular velocity of merry go round (rad/sec)

$\omega_f$ = final angular velocity of COMBINED objects (rad/sec)

$I_b$ = moment of inertia of boy (kgm²)

$\omega_b$ = angular velocity of the boy (rad/sec)

The only value not explicitly given is the moment of inertia of the boy.

Since he stands along the edge of the merry go round:

$I = MR^2$

We are given that he jumps on the merry-go-round at a speed of 5 m/s. Use the following relation:

$\omega = \frac{v}{r}$

$L_b = MR^2(\frac{v}{R}) = MRv$

Plug in the given values:

$L_b = (20)(3)(5) = 300 kgm^2/s$

Now, we must solve for the boy's moment of inertia:

$I = MR^2\\I = 20(3^2) = 180 kgm^2$

Use the above equation for conservation of momentum:

$600(0) + 300 = \omega_f(180 + 600)\\\\300 = 780\omega_f\\\\\omega = \boxed{0.38 rad/sec}$

8 0

2 years ago

A ping pong ball with a dent in it can be put into a pan of boiling water. After a short amount of time, the dent will pop out.

kifflom [539]

heat from water goes into air in ball

air expands

ping goes the dent

6 0

3 years ago

Read 2 more answers

Help pleasessssssssssssss

irinina [24]

Sorry I had the answer but it wont let me type numbers :(.:

5 0

2 years ago

Definition: A potential path for the flow of electricity with at least one gap in the path that prevents this flow. The gap is u

Andreas93 [3]

Answer:

Open circuit

Explanation:

An open circuit is simply an electrical circuit that is not complete. In such a circuit, there is a gap and this will not allow the electric current to pass through.

Despite all the elements being complete in the circuit, an open circuit will halt the flow of electric current and will not do deliver the necessary energy it is supposed to.

In such a circuit, the wires are cut of and not connected properly.

The reverse is a closed circuit.

7 0

3 years ago

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A car of mass of 1000 ks in accelerating at 2 ms. What resultant force acts on the car? If the

Debora [2.8K]

Answer:

Explanation:

Opp

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3 years ago