Why did I get the wrong answer?

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The discussion revolves around a physics problem involving a mass on a spring and the calculation of displacement from equilibrium. The user calculated the spring constant and angular velocity correctly but obtained an incorrect displacement value due to using degrees instead of radians in their calculator. After confirming the use of radian mode, they found the correct answer. This highlights the importance of ensuring the correct mode is set on calculators when solving trigonometric equations. The issue was resolved by switching to radian mode.
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Here is what I was given in the problem:

A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. It is then pulled downward an addtional distance of 12.5 cm and released. Find the displacement from the equilibrium position of the mass (in cm) after 0.42 sec. Count up as positive and g=9.81m/s^2.


I figured out the spring constant (k=54.06 N/m) and the angular velocity (14.15 s^-1). I then entered the two values I had just found into the displacement equation [x at(t=0.42 s)=A cos (wt)] and got (-12.43 cm). That was wrong. The answer is (-11.78 cm). What did I do wrong? I tried the equation several different ways and got the same answer every time and it was the wrong one.

Thanks so much for taking the time to help me.:smile:
 
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Are you using Radian mode when calculating your answer?
I can find the correct answer by using radian mode.
 
thanks. that was my problem. my calculator was set on degrees instead of radians.:blushing: ooops!
 
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