Answer:
450.78Hz
Explanation:
The frequency of wave in string is directly proportional to its tension. This is mathematically expressed as
F∝T
F = kT where k is the constant of proportionality
From the formula, k = F/T
F1/T1 = F2/T2 = k
If each violin is perfectly tuned at 440 Hz and under 245 N of tension then F1 = 440Hz, T1 = 245N
To get the frequency if the string A is tighten to 251N of tension,
T2 = 251N, F2 =?
Substituting the given values into the equation above to get F2 we have;
440/245 = F2/251
Cross multiplying
245F2 = 440×251
245F2 = 110,440
F2 = 110,440/245
F2 = 450.78Hz
A gas plasma i just took the quiz lol
<span>3.2 grams
The first thing to do is calculate how many half lives have expired. So take the time of 72 seconds and divide by the length of a half life which is 38 seconds. So
72 / 38 = 1.894736842
So we're over 1 half life, but not quite 2 half lives. So you'll have something less than 12/2 = 6 grams, but more than 12/4 = 3 grams.
The exact answer is done by dividing 12 by 2 raised to the power of 1.8947. So let's calculate 2^1.8947 power
= 12 g / (e ^ ln(2)*1.8947)
= 12 g / (e ^ 0.693147181 * 1.8947)
= 12 g / (e ^ 1.313305964)
= 12 g / 3.718446464
= 3.227154167 g
So rounded to 2 significant figures gives 3.2 grams.</span>
Answer:
T = 17649.03 N = 17.65 KN
Explanation:
The tension in the cable must be equal to the apparent weight of the passenger. For upward acceleration:
where,
T = Tension in cable = ?
= Apparent weight
m = mass = 1603 kg
g = acceleration due to gravity = 9.81 m/s²
a = acceleration of elevator = 1.2 m/s²
Therefore,
<u>T = 17649.03 N = 17.65 KN</u>
