To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
They tell us that the speed of the wheel is 3 turns in 6 minutes.
So:
1 revolution = 2π
(2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
The wheel turns π or 180 ° in one minute.
We already have the angular velocity w.
We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
Therefore, the function sought is periodic and must be equal to 4 for allvalues of time k, where k is an even number 2, 4, 6, 8, .., k
Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
The minimum value of the function must be 4 and the maximum value 54.
Therefore, the function is:
h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
You can verify the answer in the following way:
After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
When you replace t = 1 in the formula, you get h = 54m
After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
By replacing t = 2 in the formula you will get h = 4m
After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
When replacing t = 0.5 in the formula you will get h = 29m
Answer:
1655
Step-by-step explanation:
add 100+15 together then add that answer with 1540
I think the domain is (0,2,4,8) and the range is (4,6 and 8) also your learning this in high school?
See the picture attached to better understand the problem
we know that
m ∠ACD=91.5°
m ∠ACD+m ∠ACB=180°-------> by supplementary angles
so
m ∠ACB=180-91.5-----> m ∠ACB=88.5°
m∠CAB+m ∠ACB=90°-----> by complementary angles
so
m ∠CAB=90-88.5-----> 1.5°
m∠ CAB is <span>the new angle at the bottom left side of the door
the answer is1.5</span>
°
