Let's say you measure an average acceleration to be 0.44 ms-2.
What is the height (in centimeters) of the riser block?
Assume the legs of the track span 1.0000 m and that there is neither friction nor drag. Also assume the block is under one of the legs.
To determine the height of the riser block, we can use the formula for average acceleration:
a = 2gh / (L^2)
Where:
a = average acceleration
g = acceleration due to gravity (approximately 9.8 m/s^2)
h = height of the riser block
L = length of the leg of the track
In this case, the average acceleration (a) is given as 0.44 ms^-2 and the length of the leg (L) is given as 1.0000 meter.
Rearranging the formula, we can solve for h:
h = (a * L^2) / (2g)
Substituting the given values:
h = (0.44 m/s^2 * (1.0000 m)^2) / (2 * 9.8 m/s^2)
h = 0.0224 m
To convert this height to centimeters, multiply by 100:
h = 0.0224 m * 100 cm/m
h ≈ 2.24 cm
Therefore, the height of the riser block is approximately 2.24 centimeters.