Conversions
Convert:
120s→min
2 min
Which conversion factor should you use to convert seconds to minutes?
A. (60 sec)/(1min)
B. (1min)/(60 sec)
B
Velocity: If dd is measured in meters and tt in seconds, what is the unit of velocity?
v=(d/t)
m/s
v=d/t
If v=m/s, d=m, and t=s:
👍 CONSISTENT
350cm→m
3.50m
Set up—but do not calculate—the conversion:
250cm→m
250cm((100cm)/(1m))
Acceleration:
a= v/t
What is its SI unit?
m/s^2
F=ma Given: F=N,m=kg,
a=m/s^2
👍 CONSISTENT
Convert 425 cm to meters. Show your conversion factor.
425cm((1m)/(100cm))=4.25m
Set up, but do not calculate:
Convert 7.50 km to meters.
7.50km((1000m)/(1km))
If acceleration is change in velocity divided by time, what SI unit should acceleration have?
(m/s)/s=m/s^2
For F=m use the units of mass and acceleration to determine the units of force.
Mass= F=kg
A = m/s^2
F=kg⋅m/s^2 = N
Using 1 in=2.54 cm
convert: 5.36in→cm
approximately 13.6cm
1mile=1609.34m 1hr=3600s
3.00×10^8 m/s→ (mil) / (hour)
3.00×10^8s/m((1mil)/(1609.34m))((3600s)/(1hr))
Starting with mass × acceleration, determine the fundamental SI units of force.
kg(m/s^2)=(kg⋅m)/s^2
A student says that the distance traveled by an object can be calculated using: d = vt^2
where: d = distance v = velocity t = time
Use dimensional analysis to determine whether this equation can be correct.
❌ Not dimensionally consistent ❌
Convert 425 cm to meters. Show your conversion factor.
425cm((1m)/(100cm))=4.25m
Set up the conversion from m/s to mi/h. Do no calculate
A speed is given in m/sm/s. Using:
1mile=1609.34m and 1hr=3600s
m/s((1mil)/(1609.34m))((3600s)/(1hr))
Force: F=ma Given: m=kg
a=m/s^2
kg⋅m/s^2=N
T=2πsqrt(L/g)
Given: L=m and
g=m/s^2
👍 CONSISTENT