Radial and Tangential Acceleration

In summary, The conversation discusses a particle moving clockwise in a circle with a radius of 2.5 m at a certain instant of time. The question is to find the radial acceleration, speed, and tangential acceleration of the particle at that instant. The conversation also mentions the use of standard formulas to solve for these values.
  • #1
duey_rando
1
0
I can't figure out how to do this for the instant time or with the limited information.

A particle moving clockwise in a circle of radius 2.5 m at a certain instant of a time. For that instant, find (a) the radial acceleration of the particle (b) the speed of the particle and (c) it tangential acceleration.

Radius= 2.5m
Theta= 30 degrees
a= 15.o m/s^2
 
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  • #2
welcome to pf!

hi duey_rando! welcome to pf! :wink:

do you mean that it starts with speed 0, and accelerates at 15.0 m/s2 ?

if so, find the speed first, then use the standard formulas to find the radial and tangential acceleration :smile:
 

1. What is the difference between radial and tangential acceleration?

Radial acceleration refers to the acceleration towards or away from the center of a circle or curved path, while tangential acceleration refers to the acceleration along the tangent of the circle or curved path.

2. How are radial and tangential acceleration related to each other?

Radial and tangential acceleration are related through the equation a^2 = ar^2 + at^2, where a is the total acceleration, ar is the radial acceleration, and at is the tangential acceleration.

3. How do radial and tangential acceleration affect an object's motion?

Radial and tangential acceleration play a crucial role in circular motion. Radial acceleration determines the direction of the object's velocity, while tangential acceleration determines the magnitude of the object's velocity.

4. How can radial and tangential acceleration be calculated?

Radial and tangential acceleration can be calculated using the equations ar = v^2/r and at = dv/dt, where v is the object's velocity and r is the radius of the circular path.

5. In what real-life situations can radial and tangential acceleration be observed?

Radial and tangential acceleration can be observed in many real-life situations such as the motion of a car around a curved road, the orbit of a planet around the sun, or the motion of a rollercoaster on a loop.

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