Question 1 You measure that a cart accelerates at 2.33 m/s 2 . However, your cal

Question

Question 1

You measure that a cart accelerates at 2.33 m/s2. However, your calculated result indicates that it should be 2.19 m/s2. What is the percent difference of the measured value?

Question 2

An object has an acceleration of 4.52 m/s2 that is 41.3 degrees clockwise from the x axis. What is the x component of acceleration (in unit of m/s2)?

Question 6

An object has an acceleration of 4.19 m/s2 that is 44.9 degrees counterclockwise from the x axis. What is the y component of acceleration (in unit of m/s2)?

Explanation / Answer

1. theoretical value, at = 2.33 m/s/s

measured value, am = 2.19 m/s/s

% differe3nce = (at - am)*100/at = 6.008 %

2. given acceleration a = 4.52 m/s/s

direction , theta = 41.3 deg CW +x axis

x component of acceleration ax = a*cos(theta) = 4.52*cos(41.3) = 3.3957 m/s/s

6. given a = 4.19 m/s/s

theta = 44.9 CCW +x axis

ay = asin(theta) = 2.9576 m/s/s

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