4.2. Calculate the results of combining errors when substituting values in formulae. 1. The length (x) of a rod is measured with with a ruler with an uncertainty of 0.1. Complete the table for the length of the rod being tripled. Value Uncertainty x/cm 35 0.1 3x/cm

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b) Explain what the value of the product moment correlation tells you about the relationship between the
daily temperature and the household energy consumption.
4.2. Calculate the results of combining errors when substituting values
in formulae.
1. The length (x) of a rod is measured with with a ruler with an uncertainty of 0.1. Complete
the table for the length of the rod being tripled.
Value
Uncertainty
x/cm
35
0.1
3x/cm
2. The time period of a pendulum is measured by first timing 30 swing. Complete the table to
give the time period and its uncertainty.
Value
Uncertainty
30T/s
75
0.6
T/s
3. You need to find the density of a glass marble. The mass of the marble in grams and the
radius in cm are given in the table below, along with the uncertainty in each measurement.
mass (m)
Using the formula: Density (p).
complete the following table:
%3D
volume (V)
Value
Uncertainty
% uncertainty
Mass (m)/g
4.7
0.2
Radius (r)/cm
0.45
0.01
Volume (V)/cm3
4
(use V =ar³)
3
Density (p)/gcm-1
Transcribed Image Text:b) Explain what the value of the product moment correlation tells you about the relationship between the daily temperature and the household energy consumption. 4.2. Calculate the results of combining errors when substituting values in formulae. 1. The length (x) of a rod is measured with with a ruler with an uncertainty of 0.1. Complete the table for the length of the rod being tripled. Value Uncertainty x/cm 35 0.1 3x/cm 2. The time period of a pendulum is measured by first timing 30 swing. Complete the table to give the time period and its uncertainty. Value Uncertainty 30T/s 75 0.6 T/s 3. You need to find the density of a glass marble. The mass of the marble in grams and the radius in cm are given in the table below, along with the uncertainty in each measurement. mass (m) Using the formula: Density (p). complete the following table: %3D volume (V) Value Uncertainty % uncertainty Mass (m)/g 4.7 0.2 Radius (r)/cm 0.45 0.01 Volume (V)/cm3 4 (use V =ar³) 3 Density (p)/gcm-1
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