Find Magnitude & Direction for acceleration:

In summary, acceleration is the rate of change of velocity over time and is a vector quantity. It can be calculated by dividing the change in velocity by the change in time. The difference between average and instantaneous acceleration is that average acceleration is over a time interval, while instantaneous acceleration is at a specific moment in time. The magnitude of acceleration can be found using the Pythagorean theorem, and the direction of acceleration can be determined by looking at the direction of the acceleration vector.
  • #1
ladkee
8
0

Homework Statement

:
Block B has acceleration of 4 m/s2... Relative acceleration of block A w/ respect to B is 4 m/s2. Find magnitude & direction of accel for A?[/B]

Homework Equations



a_A = a_B + a_A/B[/B]

The Attempt at a Solution



a_A = 4 +4 = 8 m/s2 <--

8*cos(20) = 7.52 (x-component)

8*sin(20) = 2.74 (y-component)

direction= inverse tangent of (2.74 / 7.52) = 20.02 degrees <--

this was my attempt, not sure if I did it correctly. [/B]
 

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  • #2
ladkee said:
a_A = a_B + a_A/B
Those are vectors, you cannot add their magnitudes.
 

Related to Find Magnitude & Direction for acceleration:

1. What is acceleration?

Acceleration is the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction.

2. How do you calculate acceleration?

Acceleration can be calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What is the difference between average and instantaneous acceleration?

Average acceleration is the change in velocity over a time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Instantaneous acceleration can be calculated by finding the derivative of the velocity function.

4. How do you find the magnitude of acceleration?

The magnitude of acceleration is the absolute value of the acceleration vector. It can be calculated using the Pythagorean theorem, where the magnitude is equal to the square root of the sum of the squares of the individual components of the acceleration vector.

5. How do you find the direction of acceleration?

The direction of acceleration can be determined by looking at the direction of the acceleration vector. This can be represented using a coordinate system, where the positive direction is towards the right and the negative direction is towards the left. The angle of the acceleration vector can also be measured with respect to the x-axis.

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