Elementary School Question What angle of bevel can make an object roll the farthest

When the angle of the ramp is 45 degrees, the object will roll the farthest distance from it.

The inclined plane is one of the simplest machines, and in production and life, people often use the inclined plane to achieve the purpose of saving labor. The distance at which a cylindrical object rolls off an inclined plane is not only related to the length of the inclined plane, but also to the angle formed by the inclined plane to the ground.

Whether the vertical height or the horizontal length must be different is different, and there are other factors to consider.

If the height of the inclined plane is fixed, the smaller the angle (regardless of the friction of the inclined plane), the farther the roll will be.

At a certain altitude, the horizontal velocity at any angle at 0 altitude is the velocity generated by gravity, so the smaller the angle, the faster the horizontal velocity and the greater the relative momentum.

If the horizontal length of a certain bevel is ideally independent of the angle (without considering the friction of the bevel), any angle.

Probably the answer to the original question is 45 degrees can make the object roll farthest, 45 degrees is just the same horizontal speed and vertical speed, but we want horizontal speed, and the friction of the inclined plane is different at different angles, and the factors affecting it are too great. Therefore, according to the actual situation, an inclined plane should be built to conduct experiments to see the results.

45 degrees – the angle is too small (the limit is 0), the power is small, the angle is too large (nearly vertical), and the initial velocity of the forward roll is too small.

You can use speed vector decomposition to solve in detail, since it is a primary school practice problem, then let the children do it once, which can not only enhance memory but also can lead to the general truth of "learning and playing" and "balanced development", hehe.

When the slope is 45° to the ground, the object rolls farther away. On a slope with an angle of , there is a small ball (cylinder, starting from a standstill and sliding downwards, the slope friction coefficient.

For. At an angle of 45°, the ball reaches the bottom of the slope with maximum velocity.

It depends on the dynamic friction between the object and the inclined and horizontal planes, such as the macro factor. In general, if you want to roll far, physically speaking, you have to try to use the gravitational potential energy.

Converted into kinetic energy. According to the height, there is also a relationship, if the height of the object is the same as the dust, because the gravity of the object is converted into power, the smaller the horizontal angle, the farther the distance, and the larger the angle, the closer the distance.

If the kinetic friction factor between the object and the inclined plane is the same, and then it rolls to the same horizontal plane, it should be that the greater the angle, the greater the height of the release, and the farther it rolls.

If the height of the object is the same, because the gravity of the object is converted into power, the smaller the horizontal angle, the farther the distance, and the larger the angle, the closer the distance. So if the height is the same, it's 30 degrees. If the slope is the same, the height is different, that is, 30 degrees and 60 degrees are the same, and 45 degrees is a little smaller.

Categories: Education Science.

Problem Cavity Description:

In a fourth-grade math practice class, I don't know how many angles of the inclined plane can make an object roll the farthest.

The object is a cylinder and rolls down freely.

I don't know if I'm a teacher.

Analysis: 45 degrees - the angle is too small (the limit is 0), the power is small, the angle is too large (the hole is near the circle is vertical), and the initial velocity of the forward roll is too small.

You can use speed vector decomposition to solve in detail, since it is a primary school practice problem, then let the children do it once, which can not only enhance memory but also can lead to the general truth of "learning and playing" and "balanced development", hehe.

Summary. When the inclined plane is at an angle of about 45° to the ground, the object rolls the farthest down from the inclined plane.

Elementary School Question What angle of bevel can make an object roll the farthest

When the inclined plane is at an angle of about 45° to the ground, the object rolls the farthest down from the inclined plane.

At 45 degrees, the vertical and horizontal components are equal, and the farthest is rolled.

When the angle of the slope is 45 degrees, the object will roll down the farthest distance from the top.

The inclined plane is one of the simplest machines, and in production and life, people often use the inclined plane to achieve the purpose of saving effort. The distance at which a cylindrical spine object rolls off an inclined plane is not only related to the length of the inclined plane, but also to the angle formed by the inclined plane to the ground.