Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). The smaller flywheel of radius 13 cm has a cord that has a pulling force of 50 N on it. What pulling force (in N) needs to be applied to the cord connecting the larger flywheel of radius 22 cm such that the combination does not rotate?
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Answer:
Explanation:
As we know that the combination is maintained at rest position
So we will take net torque on the system to be ZERO
so we know that
here we will have
so we have
so we have
Final answer:
The concept of torques and equilibrium is used to calculate the pulling force on the larger flywheel, which is found to be approximately 29.55 Newtons. This force will balance the system and prevent it from rotating.
Explanation:
To solve this problem, we need to understand the concept of torque and equilibrium. We know that torque (τ) is the rotational equivalent of linear force. It's calculated by the formula τ = force × radius. Thus, for the system to stay at equilibrium (not rotate), the torques need to balance each other out.
On the smaller flywheel, the torque τ₁ is given by the pulling force (F₁ = 50 N) and the radius (r₁ = 13 cm, or 0.13 m), hence τ₁ = F₁ × r₁ = 50 N x 0.13 m = 6.5 N.m.
In order for the system to stay at equilibrium, the same amount of torque needs to be applied to the larger flywheel. We already know the radius of the larger flywheel (r₂ = 22 cm, or 0.22 m). To keep the system at equilibrium, the pulling force F₂ on the larger flywheel should be such that the torque τ₂ = τ₁ = 6.5 N.m. From the formula τ = F × r, we can solve for F₂ as follows: F₂ = τ₂ / r₂ = 6.5 N.m / 0.22 m = 29.55 N, approximately. Therefore, a pulling force of about 29.55 N should be applied to the cord connected to the larger flywheel to prevent the system from rotating.
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Answer:
By the information given, I am not sure how the event has played out. However, using common knowledge, I can give a scenario of how it may play out.
When removing the first block (the foundation), gravity will pull the other blocks down, as the strength of gravity exceeds that of the strength of air holding it up. This means that all the blocks on top would fall.
By definition of Newton's 1st - 3rd laws, the blocks would not move unless a force is given to it (i.e., removing the bottom block, which causes gravity). Gravity would pull the other blocks downwards. This would lead to the falling of the stack of blocks.
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Answer:
Explanation:
A stack of blocks sits in equilibrium. That means, by Newton's 1st law, all blocks will remain stationary. The weight of each block is balanced by the reaction force from the block underneath it. The bottom block experiences a reaction force equals to the total weight of all blocks from the ground.
When the bottom block is removed, there will not be any reaction force from the ground. That causes a disturbance in the equilibrium. Without the balancing reaction, the blocks will have the gravity force from their weights pulling them down. By Newton 2nd law, the unbalance force will cause the blocks to accelerate towards the ground until they all crash-land.
geothermal energy
fossil fuel
wind energy
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In short, Your Answer would be Option C) Fossil Fuel
Hope this helps!
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Answer: Form a hypothesis
A scientific way to investigate a problem involves mainly five steps.
→A question or problem must be formulated in the first step.
→After gathering the background information, A hypothesis must be made.
→Third step would be to design an experiment.
→Fourth step would include collection and recording of data.
→Fifth step would include the conclusions drawn from the experiment and communication of hypothesis and its results.
When the scientist notices that a dark colored peppered moth over light colored background, he formulates a question: whether the difference in visibility affects the survival rate of dark moths or not? Therefore, next step in the scientific method would be to gather more information on the subject and formulate a hypothesis.
Answer:
the correct simple answer is B
Explanation:
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To calculate the volume of a cylindrical water tank, you can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- π (pi) is approximately 3.14159
- r is the radius of the cylinder
- h is the height of the cylinder
In this case, the radius (r) is 3 yards, and the height (h) is 7.5 yards. Plug these values into the formula:
Volume = π * (3 yards)^2 * 7.5 yards
Volume ≈ 3.14159 * (9 square yards) * 7.5 yards
Now, calculate the volume:
Volume ≈ 3.14159 * 67.5 cubic yards
Volume ≈ 212.05325 cubic yards
So, the volume of the cylindrical water tank is approximately 212.05 cubic yards.