SOLUTION: 1. t= √(2a/x) 2. v= v_o+at 3. v=2ax is dimensional consistent or not. explain each case

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Question 1185070: 1. t= √(2a/x)
2. v= v_o+at
3. v=2ax
is dimensional consistent or not. explain each case
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
1. t= √(2a/x)
Let t = second
Let a = meter/second2
Let x = meter

second=+sqrt%282%28meter%2Fsecond%5E2%29%2F%28meter%5E%22%22%29%29
second=+sqrt%282%28meter%5E%22%22%2Fsecond%5E2%29%2A%281%5E%22%22%2Fmeter%29%29

second=+sqrt%282%281%5E%22%22%2Fsecond%5E2%29%29
second=+%281%2Fsecond%29sqrt%282%29
second=+sqrt%282%29%281%2Fsecond%29

Even though we ignore the constant, the units on the left and right are not
the same so they are not dimensionally consistent.

2. v= v0+at
Let v = meter/second

meter%2Fsecond=meter%2Fsecond%2B%28meter%5E%22%22%2Fsecond%5E2%29%5E%22%22second



meter%2Fsecond=meter%2Fsecond

Yes, they have the same units on the left and right, so they are dimensionally consistent.

3. v=2ax

meter%2Fsecond=2%28meter%5E%22%22%2Fsecond%5E2%29meter

meter%2Fsecond=2%28meter%5E%22%22%2Fsecond%5E2%29meter

meter%2Fsecond=2%28meter%5E2%2Fsecond%5E2%29

Even though we ignore the constant, the units on the left and right are not
the same so they are not dimensionally consistent.

Edwin