Solution to problem 7.2.7 from the collection of Kepe O.E.

Determine the speed of point B at time t = 6 s, if distance OA = 0.1 m, and angle ? = 6 t. (Answer 0.595)

To solve this problem, we use the formula for determining the speed of a point on a plane: v = r * d(theta) / dt, where v is the speed of the point, r is its distance from the coordinate center, theta is the angle between the radius vector of the point and the positive direction of the axis X, t - time.

In this problem, the distance OA = 0.1 m and the angle theta = 6t. So we can write: r = 0.1 m, theta = 6t.

It is necessary to find the speed of the point at time t = 6 s. To do this, we find the derivative of angle theta with respect to time: d(theta) / dt = 6

Let's substitute all known values ​​into the formula for speed and get: v = r * d(theta) / dt = 0.1 m * 6 / 1 s = 0.6 m/s.

Thus, the speed of point B at time t = 6 s is 0.6 m/s.

Solution to problem 7.2.7 from the collection of Kepe O.?.

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Our product is a solution to problem 7.2.7 from the collection of problems on physics by Kepe O.?. in digital format. To solve this problem, we used the formula to determine the speed of a point on a plane: v = r * d(theta) / dt, where v is the speed of the point, r is its distance from the center of coordinates, theta is the angle between the radius vector of the point and the positive direction X axis, t - time.

In this problem, the distance OA = 0.1 m and the angle theta = 6t. So we can write: r = 0.1 m, theta = 6t. It is necessary to find the speed of the point at time t = 6 s. To do this, we will find the derivative of angle theta with respect to time: d(theta) / dt = 6. Substitute all known values ​​into the formula for speed and get: v = r * d(theta) / dt = 0.1 m * 6 / 1 s = 0.6 m/s.

Our product is presented in the form of a beautifully designed HTML page, which presents a detailed solution to the problem with a step-by-step description of each step. We offer a quick and convenient way to get a solution to this problem without having to look for it in a thick textbook or workbook.

Our product is available for purchase in our digital goods store, and you can get instant access to the solution to problem 7.2.7 from the collection of Kepe O.?. on any device, anywhere and anytime. Our product can be useful to students and teachers who want to quickly and easily get a solution to a given problem and advance in their study of physics. The answer to the problem is 0.595.

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Solution to problem 7.2.7 from the collection of Kepe O.?. is to determine the speed of point B at time t = 6 s, provided that the distance OA = 0.1 m and the angle? = 6 t. The answer to the problem is 0.595.

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

v = r * ω,

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

Angular velocity can be determined using the formula:

ω = Δφ / Δt,

where Δφ is the change in angle, Δt is the change in time.

Thus, to solve this problem, you need to determine the angular velocity of point B at time t = 6 s, and then find the speed of the point using the formula for speed on a circle.

The angle φ can be determined using the formula:

φ = ? *t,

Where ? - given angle, t - time.

Thus, for time t = 6 s, angle φ = 6 * 6 = 36 degrees.

The radius of the circle is r = OA = 0.1 m.

Angular velocity can be determined by dividing the change in angle by the change in time:

ω = Δφ / Δt = 36 degrees / 6 s = 6 rad/s.

Now you can determine the speed of point B using the formula for speed on a circle:

v = r * ω = 0.1 m * 6 rad/s = 0.6 m/s.

Thus, the speed of point B at time t = 6 s is equal to 0.6 m/s, which corresponds to the answer 0.595 up to rounding.

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