Answer:
303.9481875 N
Explanation:
t = Time taken = 2 seconds
F = Force
r = Radius = 1.5 m
I = Moment of Inertia
= Angular Acceleration
Torque
![\tau=F\times r](https://tex.z-dn.net/?f=%5Ctau%3DF%5Ctimes%20r)
![\tau=I\times \alpha](https://tex.z-dn.net/?f=%5Ctau%3DI%5Ctimes%20%5Calpha)
![\\\Rightarrow F\times r=I\times \alpha\\\Rightarrow F=\frac{I\times \alpha}{r}](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20F%5Ctimes%20r%3DI%5Ctimes%20%5Calpha%5C%5C%5CRightarrow%20F%3D%5Cfrac%7BI%5Ctimes%20%5Calpha%7D%7Br%7D)
Angular velocity
![\omega=rev/s\times 2\pi\\\Rightarrow \omega=0.6\times 2\pi\\\Rightarrow \omega=3.76991\ rad/s](https://tex.z-dn.net/?f=%5Comega%3Drev%2Fs%5Ctimes%202%5Cpi%5C%5C%5CRightarrow%20%5Comega%3D0.6%5Ctimes%202%5Cpi%5C%5C%5CRightarrow%20%5Comega%3D3.76991%5C%20rad%2Fs)
Angular acceleration
![\alpha=\frac{\omega}{t}\\\Rightarrow \alpha=\frac{3.76991}{2}\\\Rightarrow \alpha=1.88495\ rad/s^2](https://tex.z-dn.net/?f=%5Calpha%3D%5Cfrac%7B%5Comega%7D%7Bt%7D%5C%5C%5CRightarrow%20%5Calpha%3D%5Cfrac%7B3.76991%7D%7B2%7D%5C%5C%5CRightarrow%20%5Calpha%3D1.88495%5C%20rad%2Fs%5E2)
![I=\frac{1}{2}mr^2\\\Rightarrow I=\frac{1}{2}215\times 1.5^2\\\Rightarrow I=241.875\ kgm^2](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B2%7Dmr%5E2%5C%5C%5CRightarrow%20I%3D%5Cfrac%7B1%7D%7B2%7D215%5Ctimes%201.5%5E2%5C%5C%5CRightarrow%20I%3D241.875%5C%20kgm%5E2)
![F=\frac{I\times \alpha}{r}\\\Rightarrow F=\frac{241.875\times 1.88495}{1.5}\\\Rightarrow F=303.9481875\ N](https://tex.z-dn.net/?f=F%3D%5Cfrac%7BI%5Ctimes%20%5Calpha%7D%7Br%7D%5C%5C%5CRightarrow%20F%3D%5Cfrac%7B241.875%5Ctimes%201.88495%7D%7B1.5%7D%5C%5C%5CRightarrow%20F%3D303.9481875%5C%20N)
The magnitude of the force to stop the merry-go-round is 303.9481875 N
347÷134=2.589552239 meters per second
2.589552239×60= 155.3731343 meters per hour
155.3731343 meters per hour= 0.096544389701642 miles per hour
hopefully this was right.
Answer:
temperature measures heat - the unit is Celsius - and it is measured with a thermometer.
length is measuring how long, tall, or wide something is - the base unit it metres - and it is measured with a ruler or a metre stick
volume is measuring the quantity of a three dimensional space - the unit is cubic centimetre - you find volume by taking the measurements with a ruler
mass is measuring how much space something takes up/ weight - unit is the gram - you use a scale
Explanation:
1. Force applied on an object is given by :
F = W = mg
(a) A 160 lb human being, F = 160 lb
g = acceleration due to gravity, g = 32 ft/s²
![m=\dfrac{F}{g}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BF%7D%7Bg%7D)
![m=\dfrac{160\ lb}{32\ ft/s^2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B160%5C%20lb%7D%7B32%5C%20ft%2Fs%5E2%7D)
m = 5 kg
(b) A 1.9 lb cockatoo, F = 1.9 lb
![m=\dfrac{F}{g}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BF%7D%7Bg%7D)
![m=\dfrac{1.9\ lb}{32\ ft/s^2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1.9%5C%20lb%7D%7B32%5C%20ft%2Fs%5E2%7D)
m = 0.059 kg
2. (a) A 2300 kg rhinoceros, m = 2300 kg
![W=2300\ kg\times 32\ ft/s^2=73600\ lb](https://tex.z-dn.net/?f=W%3D2300%5C%20kg%5Ctimes%2032%5C%20ft%2Fs%5E2%3D73600%5C%20lb)
(b) A 22 g song sparrow, m = 22 g = 0.022 kg
![W=0.022\ kg\times 32\ ft/s^2=0.704\ lb](https://tex.z-dn.net/?f=W%3D0.022%5C%20kg%5Ctimes%2032%5C%20ft%2Fs%5E2%3D0.704%5C%20lb)
Hence, this is the required solution.