you can always multiply by 1 without changing anything.
1h = 3600s
That means that 1h/3600s = 3600s/1h = 1
Now you don't have to worry whether to multiply or divide -- just multiply using the version of 1 that cancels the unwanted units. For example,
159 mi/h * 1h/3600s * 1609.344m/mi = 71.079 m/s
Do any other unit conversions in like wise.
Convert 159 mi/h to m/s.
Convert 4.45 103 kg/m3 to g/cm3.
please explain in detail with full steps
2 answers
The secret to conversions is to keep the units straight. Here is a detailed explanation; it would be much easier to do in person. Let's take a simple one. Convert 15 feet to inches.
Step 1. What is the factor? Actually there are two factors; i.e., they are 12 in/1 ft OR 1 ft/12 in. Your job is to determine which factor to use and you have a 50% change of getting it right if you just guess. But there is no reason to guess and you can get it right all the time.
Step 2. Multiply 15 ft x factor = ? inches
Step 3. So let's just multiply by the two factors for the fun of it to see what we get. Don't multiply just the numbers but do the units also.
a. 15 ft x (1 ft/12 in) = 1.25 ft^2/in
b. 15 ft x (12 in/1 ft) = 180 in. (Note that the ft unit cancels and the inch unit is the only unit let. Note also that the inch unit is what we want.)
Step 4. You KNOW the answer must come out in inches because the problem is to convert to inches so you KNOW 3b must be the correct way to set up the problem. That's the secret of all of these conversions; i.e. to use the factor in such a manner (one of two choices) so as to make the units come out to what you want.
So on to 159 mi/hr to m/s. You can look in tables to obtain a factor for miles to meters but to give practice let's use factors that are more common such as 1 mile = 5,280 ft
1 ft = 12 inches
1 in - 2.54 cm
100 cm = 1 m
and for the time we can use
1 hr = 60 min
1 min = 60 sec so the set up would look like this. Remember we're just convert miles to feet to inches to cm to m and hr to min to sec. It looks like this.
159 mi/hr x (5,280 ft/mi) x (12 in/ft) x (2.54 cm/in) x (1 m/100 cm) x (1 hr/60 min) x (60 sec/1 min) = ? m/s and I get about 71.08 m/s.
The other problem is done the same way.
Post your work if you get stuck. Good luck.
Step 1. What is the factor? Actually there are two factors; i.e., they are 12 in/1 ft OR 1 ft/12 in. Your job is to determine which factor to use and you have a 50% change of getting it right if you just guess. But there is no reason to guess and you can get it right all the time.
Step 2. Multiply 15 ft x factor = ? inches
Step 3. So let's just multiply by the two factors for the fun of it to see what we get. Don't multiply just the numbers but do the units also.
a. 15 ft x (1 ft/12 in) = 1.25 ft^2/in
b. 15 ft x (12 in/1 ft) = 180 in. (Note that the ft unit cancels and the inch unit is the only unit let. Note also that the inch unit is what we want.)
Step 4. You KNOW the answer must come out in inches because the problem is to convert to inches so you KNOW 3b must be the correct way to set up the problem. That's the secret of all of these conversions; i.e. to use the factor in such a manner (one of two choices) so as to make the units come out to what you want.
So on to 159 mi/hr to m/s. You can look in tables to obtain a factor for miles to meters but to give practice let's use factors that are more common such as 1 mile = 5,280 ft
1 ft = 12 inches
1 in - 2.54 cm
100 cm = 1 m
and for the time we can use
1 hr = 60 min
1 min = 60 sec so the set up would look like this. Remember we're just convert miles to feet to inches to cm to m and hr to min to sec. It looks like this.
159 mi/hr x (5,280 ft/mi) x (12 in/ft) x (2.54 cm/in) x (1 m/100 cm) x (1 hr/60 min) x (60 sec/1 min) = ? m/s and I get about 71.08 m/s.
The other problem is done the same way.
Post your work if you get stuck. Good luck.
0 answers