Answer:a) The linear speed of the rotating merry-go-round is 1.884 m/s.
b) The acceleration of the rotating merry-go-round device is
.
Explanation:
a) linear speed of the device:
Distance =![2\pi (r)](https://tex.z-dn.net/?f=2%5Cpi%20%28r%29)
Child seated 1.2 meters from the center, which means that radius ,r = 1.2 meters
Time taken to complete one revolution = 4.0 seconds
![\text{Linear speed}=v=\frac{distance}{time}=\frac{2\pi r}{t}=\frac{2\times 3.14\times 1.2 m}{4.0 s}=\frac{7.536 m}{4.0 s}=1.884 m/s](https://tex.z-dn.net/?f=%5Ctext%7BLinear%20speed%7D%3Dv%3D%5Cfrac%7Bdistance%7D%7Btime%7D%3D%5Cfrac%7B2%5Cpi%20r%7D%7Bt%7D%3D%5Cfrac%7B2%5Ctimes%203.14%5Ctimes%201.2%20m%7D%7B4.0%20s%7D%3D%5Cfrac%7B7.536%20m%7D%7B4.0%20s%7D%3D1.884%20m%2Fs)
The linear speed of the rotating merry-go-round is 1.884 m/s.
b) Acceleration
Linear velocity ,v = 1.884 m/s
![a_c=\frac{v^2}{r}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
![=\frac{1.884 m/s\times 1.884m/s}{1.2 m}=2.95m/s^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1.884%20m%2Fs%5Ctimes%201.884m%2Fs%7D%7B1.2%20m%7D%3D2.95m%2Fs%5E2)
The acceleration of the rotating merry-go-round device is
.
Answer:
14.85 m/s
Explanation:
From the question given above, the following data were obtained:
Height (h) of tower = 45 m
Horizontal distance (s) moved by the balloon = 45 m
Horizontal velocity (u) =?
Next, we shall determine the time taken for the balloon to hit the shoe of the passerby. This is illustrated below:
Height (h) of tower = 45 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
45 = ½ × 9.8 × t²
45 = 4.8 × t²
Divide both side by 4.9
t² = 45/4.9
Take the square root of both side
t = √(45/4.9)
t = 3.03 s
Finally, we shall determine the magnitude of the horizontal velocity of the balloon as shown below:
Horizontal distance (s) moved by the balloon = 45 m
Time (t) = 3.03 s
Horizontal velocity (u) =?
s = ut
45 = u × 3.03
Divide both side by 3.03
u = 45/3.03
u = 14.85 m/s
Thus, the magnitude of the horizontal velocity of the balloon was 14.85 m/s
Answer:
the answer is B. it's too easy
It gets larger since the heat is expanding it outward
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