2) You take the following measurements for the distance a toy car travels in 10 seconds during each 5 trials: 157cm, 175cm, 162cm, 168cm, 187cm. What are the relative uncertainties of the distance and time measurements? Which measurement is the most uncertain?
this is what I have done;
10/157cm *100 = 6.37% <-Most Uncertain!
10/175cm *100 = 5.71%
10/162cm *100 = 6.17%
10/168cm *100 = 5.95%
10/187cm *100 = 5.34%
3) Calculate the average speed of the toy car. use the weakest link rule to determine the uncertainty in the speed.
this one I did not understand and I truly need help
To calculate the relative uncertainty of the distance measurements, divide the time taken (10 seconds) by each distance measurement and multiply by 100:
Relative uncertainty of distance = (10/157) * 100 = 6.37%
Relative uncertainty of distance = (10/175) * 100 = 5.71%
Relative uncertainty of distance = (10/162) * 100 = 6.17%
Relative uncertainty of distance = (10/168) * 100 = 5.95%
Relative uncertainty of distance = (10/187) * 100 = 5.34%
Therefore, the relative uncertainties of the distance measurements are:
6.37%, 5.71%, 6.17%, 5.95%, and 5.34%.
The measurement with the highest relative uncertainty is 6.37%, which corresponds to the distance measurement of 157 cm. This means that this measurement is the most uncertain among the given measurements.
To calculate the average speed of the toy car, we need to find the mean of the distance measurements. Add up all the distance measurements and divide by the number of trials:
Average distance = (157 + 175 + 162 + 168 + 187) / 5 = 849 / 5 = 169.8 cm
Now, divide the average distance by the time taken (10 seconds) to get the average speed:
Average speed = 169.8 cm / 10 s = 16.98 cm/s
To determine the uncertainty in the speed using the weakest link rule, we need to find the measurement with the highest relative uncertainty, which is 6.37%. Then, multiply it by the average speed:
Uncertainty in speed = 6.37% * 16.98 cm/s = 1.08 cm/s
Therefore, the average speed of the toy car is 16.98 cm/s, and the uncertainty in the speed is 1.08 cm/s using the weakest link rule.