Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
Answer:
what you need help with?
Step-by-step explanation:
Answer:
It is not the same
Step-by-step explanation:
Is 5/2 greater than 2/5? Is 5/2 bigger than 2/5? Is 5/2 larger than 2/5? These are all the same questions with one answer.
When comparing fractions such as 5/2 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below: 5/2 = 2.5
2/5 = 0.4 Therefore, 5/2 is greater than 2/5 and the answer to the question "Is 5/2 greater than 2/5?" is yes.
Answer:10 Tablets must be taken
Step-by-step explanation:
V=5
5×2=10
60% of 270,000 is 162,000. 70% of 315,000 is 220,500. There is 58,500 more at the second election than the first.