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ycow [4]
2 years ago
10

In Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is l

ess than 5%.5%. For her first lab report, she calculated the value of the acceleration due to gravity three times. She got the following three values. 9.56 ms2 9.56 ms2 9.72ms2 9.72ms2 9.88ms2 9.88ms2 The accepted value of the acceleration due to gravity is 9.8ms2.9.8ms2. Which option is closest to Cynthia's percent error? Remember: Take the average of the three measurements before calculating the percent error.
a. about 8%8%.
b. about 1%1%.
c. about 0.8%0.8%.
d. about 5%.
Physics
1 answer:
MariettaO [177]2 years ago
7 0

Answer:

error = 0.82%

Explanation:

The three readings of her gravity calculation is given as

g_1 = 9.56 m/s^2

g_2 = 9.72 m/s^2

g_3 = 9.88 m/s^2

now the mean value of gravity calculation is given as

g_{mean} = \frac{9.56 + 9.72 + 9.88}{3}

g_{mean} = 9.72 m/s^2

now the percentage error in her calculation is given as

error = \frac{9.8 - 9.72}{9.8} \times 100

error = 0.82%

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2 years ago
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