How to use paper tape to find the acceleration, find the derivation process of the formula, and indi

Set on a paper bag with a total of 5 dots, then there are a total of 4 sections, from left to right, respectively, the length of the first paragraph is S1, the second paragraph is S2, the third paragraph is S3, and the fourth paragraph is S4Then the formula for calculating the average acceleration is [(S3+S4)-(S1+S2)] 4t, where t refers to the frequency of the dot timer, and also refers to the time difference between two adjacent points.

x=at, δx" is the difference of the displacement of the distance of the number of adjacent equal points, this formula you should know that ,,,s3+s4)-(s1+s2)] can be regarded as (s3-s1)+(s4-s2), s3-s1 is equivalent to 2δx, so a1=(s3-s1) 2t, so according to the following s4-s2), you can also find an a2, but we require the average value so a=(a1+a2) 2This gives [(s3+s4)-(s1+s2)] 4t

In the same way, if you hit 7 points, there are a total of 6 segments, which are S1, S2, S3, S4, S5, S6, , , ,

It's very simple, remember the formula: δx=at, where "δx" is the difference in the displacement of the distance of the adjacent equal points, and "t" is the time interval of the adjacent points (for example, take the two adjacent points x1 and x2, δx=|).x2-x1|, t= Hope you understand.

<>'s formula: δs = at 2, acceleration is the ratio of the amount of velocity change to the time taken for this change to occur δv δt, which is the quantity of the object that describes the speed of the change in the speed of the object.

It is usually denoted by a and the unit is m s2.

Acceleration is a vector quantity, and its direction is the direction of the change (quantity) of the velocity of the object, which is the same as the direction of the resultant external force. Movement of the first skin in a straight line at a uniform variable speed.

, the ratio of the change in velocity to the time taken is called acceleration, its SI unit.

is meters to the second of power. Acceleration has magnitude, direction, and is a vector. Acceleration is related to the change in velocity and the time when the change in velocity occurs in mu, but not to the magnitude of the velocity.

In kinematics, the acceleration of an object is directly proportional to the magnitude of the resultant force experienced by the external force, inversely proportional to the mass of the object, and in the same direction as the direction of the resultant external force.

Find the acceleration of the paper tape.

The commonly used formula is: a s t 2

On the paper tape, every rock is time t to take a counting point.

The displacement in the first t is S1, the displacement in the second t is S2, and the displacement in the third t is S3

s＝s2－s1＝s3－s2＝s4－s3＝.

Use the difference-by-difference formula. Let the displacement between adjacent counting points be x1, x2, x3, x4, x5, x6 (x1 is the distance between 0 and 1, and so on) is exactly 6 displacements, according to the dot timer dot law can know that the time corresponding to these 6 displacements are the same, set to t, then there are x4 - x1 = 3at, x5 - x2 = 2at, x6 - x3 = 3at, add the three equations, and get (x4 + x5 + x6) - (x1 + x2 + x3) = 9at , the acceleration error obtained by this method is small.

It can also be done as follows: divide the 6 displacements into 2 large parts according to the time average, then the time corresponding to each large displacement is (3t), set the first 3 small displacements to the first large displacement x1=(x1+x2+x3), and set the last 3 small displacements to the second largest displacement x2=(x4+x5+x6), and use the difference formula for these 2 large displacements is x2—x1=a(3t), which is also the above formula.

If the displacement fraction given in the question is an odd number, for example, if we are given 7 small displacements, we can usually discard a displacement, such as the first or last or middle segment, and then use the difference-by-difference formula.

There is also a small rule, that is, if you carefully observe the above formula, you will find that if the corresponding corner mark is calculated according to this formula, it is also true, (4+5+6)-(1+2+3)=9

The common formula for finding the acceleration of the paper tape is: a s t 2 on the paper tape, and a counting point is taken every time t.

The displacement in the first t is S1, the displacement in the second t is S2, and the displacement in the third t is S3....

s＝s2－s1＝s3－s2＝s4－s3＝..

When the dot timer is 50 Hz, the time interval is. Subtract the square of the initial velocity by the square of the final velocity and divide by twice the displacement. It is also possible to divide the difference in displacement that occurs at adjacent equal times by the square of time.

Take three adjacent points a, b, and c, and let ab=s1 bc=s2 for every two burning dots

Then the acceleration a=(s2-s1) the instantaneous velocity of the point of the cave tt b v=(s1+s2) 2t