Tip 1: How to find the tangential acceleration

tangential acceleration happens to bodies moving along a curved path.It is directed in the direction of changing the speed of the body tangentially to the trajectory.Tangential acceleration is not the case with the bodies in uniform motion in a circle, they have only a centripetal acceleration.
you need
  • - speedometer or radar;
  • - ruler or measuring tape;
  • - stopwatch.
Guide
1
Find tangential acceleration aτ, knowing full acceleration point moving along a curved path a and its centripetal acceleration of an.To do this, the square of the full acceleration subtract square centripetal acceleration, and remove from the resulting value of the square root aτ = √ (a²-an²).If the centripetal acceleration is unknown, but there is a value of the instantaneous speed, ruler or tape measure, measure the radius of curvature of the trajectory and find its value by dividing the square of the instantaneous velocity v, which measure the speedometer or the radar radius of curvature of the trajectory R, ​​
an = v² / R.
2
example.The body moves in a circle with a radius of 0.12 m. Its full acceleration is 5 m / s², determine its tangential acceleration, at a time when its speed is 0.6 m / s.First, find the centripetal acceleration of the body at the same rate, this divide by the square of its radius of the trajectory an = v² / R = 0,6² / 0,12 = 3 m / s ².Find a tangential acceleration formula aτ = √ (a²-an²) = √ (5²-3²) = √ (25-9) = √16 = 4 m / s ².
3
Determine the amount of tangential acceleration through a change in the speed of the module.To do this, using radar speedometer or define the start and end velocity of the body for a certain period of time, which, measure with a stopwatch.Find a tangential acceleration, taking away from the final v velocity v0 initial value and dividing by the time interval t, for which the change occurred: aτ = (v-v0) / t.If the tangential acceleration to get a negative, it means that the body is slowed down if positive - is accelerating.
4
example.For 4 with the speed of a body moving in a circle, decreased from 6 to 4 m / s.Determine its tangential acceleration.Applying the calculation formula, get aτ = (v-v0) / t = (4-6) / 4 = 0.5 m / s².This means that the body is decelerated with an acceleration absolute value of which is 0.5 m / s².

Tip 2: How to find the acceleration

Normal acceleration observed in the case when the body moves in a circle.Moreover, this movement can be uniform.Nature of the acceleration related to the fact that the body which moves in a circle, constantly changing direction of the velocity, as the linear velocity is tangential to the circle at each point.
How to find the acceleration
you need
  • speedometer or radar, stopwatch, rangefinder.
Guide
1
With a speedometer or radar to measure the linear velocity of the body, which moves in a circle.Rangefinders measure its radius.To find the acceleration of the body which moves in a circle, take the value of the velocity at a given time, square it and divide by the radius of the circle trajectory: a = v² / R.
2
If the motion is known for the angular velocity of the body, find the acceleration by using its value.To do this, lift the square of the angular velocity, and divide by the radius of the circle, on which the body moves: a = ω² • R.

If you can not measure the velocity of a body moving in a circle, calculate it through the period of rotation.In order to find the rotation period, using a stopwatch to measure the time during which the body returns to its starting point.If the body is moving too fast to measure the time during which produced a few complete revolutions of the body.Get time divided by the number of rotations and get the time of rotation, which is called the rotation period.Time is measured in seconds.To find the acceleration, divide the number of 6.28 for the period of rotation of the body.The resulting number squared and multiply by the radius of the circle, on which the body moves: a = (6,28 / T) ² • R.
3
Normal acceleration can be measured by knowing the speed of the body.In order to calculate the frequency, the number of rotations of a divide by the number of seconds during which they occur.The result is the number of rotations per second - this is the frequency.Calculate the acceleration of the body, multiplying the number 6.28 on the frequency of its rotation, the resulting number squared.The result multiply by the radius of the circle, on which the body moves: a = (6,28 • υ) ² • R.
Helpful Hint
Normal acceleration is always directed towards the center of the circle along which the body moves.

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