Answer :
Answer:
a) 90 ± 4.5 km/h
b) 55.926 ± 2.7963 mi/h
Explanation:
The error of 5 % uncertainty would be
[tex]\frac{5}{100}\times 90=4.5[/tex]
Range of possible speeds is 90 ± 4.5 km/h
First convert 90 km/h to mi/h
1 km/h = 0.6214 mi/h
90 km/h = 90×0.6214
⇒90 km/h = 55.926 mi/h
Convert 4.5 km/h to mi/h
4.5 km/h = 4.5×0.6214
⇒4.5 km/h = 2.7963
Range of possible speeds is 55.926 ± 2.7963 mi/h
Answer:
(a). 90±45 km/hr
(b). 55.926 ± 2.7963 mil/hr
Explanation:
Given that,
Uncertainty = 5.0%
[tex]\delta A=\dfrac{5}{100}[/tex]
Here, A = 90 km/h
(a). We need to calculate the range of speed
We need to calculate the error of 5.0% uncertainty
[tex]\delta A=\dfrac{5}{100}\times90[/tex]
Here, [tex]\delta A[/tex] = uncertainty
[tex]\delta A=4.5\ km/h[/tex]
(b). We need to convert this range to miles per hour
1 km = 0.6214 mil
[tex]90\ km/h=90\times0.6214[/tex]
[tex]90\ km/h=55.926\ mil/hr[/tex]
[tex]4.5\ km/h = 4.5\times 0.6214[/tex]
[tex]4.5 km/h=2.7963\ mil/hr[/tex]
Hence, This is the required solution.