Solution to problem 13.7.1 from the collection of Kepe O.E.

13.7.1 It is necessary to determine the modulus of the Coriolis force of inertia for a locomotive with a mass m = 8 · 104 kg, moving at a speed of 20 m/s along rails laid along the equator from east to west. The angular velocity of the Earth is ? = 0.0000729 rad/s. The locomotive can be considered as a material point. The answer is 233.

Solution tasks 13.7.1

from the collection of Kepe O.?.

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Solution to problem 13.7.1 from the collection of Kepe O.?. is a digital product designed for students and teachers studying physics. This solution provides an answer to the Coriolis inertial force problem, which can be used as additional material for teaching.

To solve the problem, it is necessary to determine the modulus of the Coriolis inertial force for a locomotive moving at a speed of 20 m/s along rails laid along the equator from east to west. The angular velocity of the Earth is ? = 0.0000729 rad/s. The locomotive can be considered as a material point. The answer is 233.

By purchasing the solution to problem 13.7.1 from the collection of Kepe O.?. in digital format, you receive a unique product that will help you easily and effectively master physics material. The solution is presented in PDF file format and has a beautiful html design, which makes it easier to perceive the information and makes studying the material more enjoyable and convenient.

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Solution to problem 13.7.1 from the collection of Kepe O.?. consists in determining the modulus of the Coriolis force of inertia of a locomotive, which moves along rails laid along the equator from east to west at a speed of 20 m/s. The angular velocity of the Earth is 0.0000729 rad/s. The locomotive is considered a material point.

To solve the problem, you need to use the formula for calculating the Coriolis force:

Fк = 2mvΩsinφ,

where Fk is the Coriolis force, m is the mass of the locomotive, v is its speed, Ω is the angular velocity of the Earth’s rotation, φ is the latitude of the place where the locomotive is located.

Since the locomotive moves along the equator, then φ = 0. Substituting the known values ​​into the formula, we get:

Fk = 2 * 8 * 10^4 * 20 * 0.0000729 * sin(0) ≈ 233 N.

Thus, the modulus of the Coriolis force of inertia of the locomotive is equal to 233 N. The answer is obtained accurate to the integer part.

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