Answer: (1) A (2) C (3) B (4) D (5) E
Step-by-step explanation:
Use the following conversions:
1 rev = 2π
1 hr = 60 min
1 min = 60 sec
1 mi = 5280 ft
[tex]1)\qquad \dfrac{40\ rev}{min}\times \dfrac{2\pi}{1\ rev}\times \dfrac{1\ min}{60\ sec}=\large\boxed{\dfrac{4\pi}{3}}\longrightarrow A[/tex]
[tex]2)\qquad \dfrac{80\ rev}{hr}\times \dfrac{1\ hr}{60\ min}=\large\boxed{\dfrac{4}{3}}\longrightarrow C[/tex]
[tex]3)\qquad \dfrac{55\ mi}{hr}\times \dfrac{5280\ ft}{1\ mi}\times \dfrac{1\ hr}{60\ min}\times \dfrac{1\ min}{60\ sec}=\large\boxed{\dfrac{242}{3}}\longrightarrow B[/tex]
[tex]4)\qquad \dfrac{8\ rad}{min}\times \dfrac{1\ rev}{2\pi}=\large\boxed{\dfrac{4}{\pi}}\longrightarrow D[/tex]
[tex]5)\qquad \dfrac{240\ rev}{hr}\times \dfrac{2\pi}{1\ rev}\times \dfrac{1\ hr}{60\ min}=\large\boxed{8\pi}\longrightarrow E[/tex]
