Solution to problem 8.3.6 from the collection of Kepe O.E.

Solution tasks 8.3.6

For a flywheel rotating at a constant speed of 90 rpm, you need to determine the acceleration of a point on the flywheel located at a distance of 0.043 m from the axis of rotation.

The problem can be solved using the formula:

a = rω²

Where:

• a is the acceleration of the flywheel point;
• r is the distance from the point to the axis of rotation;
• ω - angular velocity in rad/s, which can be expressed in terms of rotation frequency:

ω = 2πf

Where:

• f is the rotational speed in Hz, which can be expressed in terms of the rotational speed in rpm:

f = n/60

Where:

• n - rotation speed in rpm.

Substituting the data into the formula, we get:

a = 0,043 * (90 * 2π/60)² ≈ 3,82 м/c²

Answer: 3.82.

Solution to problem 8.3.6 from the collection of Kepe O..

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This solution uses a formula to determine the acceleration of a point on a flywheel that rotates at a constant speed of 90 rpm and is located at a distance of 0.043 m from the axis of rotation. The solution contains detailed explanations and formulas necessary to understand and complete the task.

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The digital product is a solution to problem 8.3.6 from the collection of Kepe O.?. in physics. The solution was made using a professional method and contains a detailed description of all stages of the solution, starting from the formulation of the problem and ending with the answer. In this case, to solve the problem, a formula was used to determine the acceleration of the flywheel point, which rotates at a constant speed of 90 rpm and is located at a distance of 0.043 m from the axis of rotation. The solution contains detailed explanations and formulas necessary to understand and complete the task.

This digital product has a beautiful html design, which makes it easier to perceive information and creates convenience when viewing it. You can use this digital product as additional material for studying physics or as a model for completing similar tasks.

Purchasing a digital product takes place in a few clicks, making the process fast and convenient. You can download this product immediately after payment and start using it for your own purposes. The answer to problem 8.3.6 from the collection of Kepe O.?. is 3.82 m/s².

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Problem 8.3.6 from the collection of Kepe O.?. consists of determining the acceleration of the flywheel point located at a distance of 0.043 m from the axis of rotation. It is known that the flywheel rotates at a constant speed of 90 rpm.

To solve the problem, you need to use the formula for the linear speed of a point on a circle:

v = ω * r,

where v is linear speed, ω is angular speed, r is the radius of the circle.

You also need to know that the acceleration of a point on a circle is related to the angular acceleration by the following formula:

a = a * r,

where a is the acceleration of the point, α is the angular acceleration.

It is known that the angular speed of the flywheel is 90 rpm, which corresponds to a value of 1.5 rad/s (since 1 rpm = 1/60 rad/s). The radius of the circle along which the point moves is equal to 0.043 m. Therefore, the linear speed of the point on this circle is equal to:

v = 1.5 rad/s * 0.043 m = 0.0645 m/s.

Now you can find the angular acceleration of the flywheel:

α = Δω / Δt,

where Δω is the change in angular velocity, Δt is the time during which this change occurs. If the flywheel rotates at a constant angular speed, then the angular acceleration is zero. Therefore, the acceleration of a point on a circle is equal to:

a = α * r = 0.

Thus, the answer to problem 8.3.6 from the collection of Kepe O.?. is 0.

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