A clock has a 14 ft long minute hand. What is the angular speed and linear speed of its tip? How far does its tip move in half an hour?

Question

anonymous · Answer

@ganeshie8 could you give me a hand with this? I have a final exam tomorrow so I"m trying to review everything

anonymous · Answer

do you know the perimeter of a circle?

anonymous · Answer

2*pi*r

anonymous · Answer

r = radius = 2(pi)(14) all devided by half because its only half a circle so you would get 14pi

anonymous · Answer

i don't know what angular vs linear speed is, so maybe that will get you started

ganeshie8 · Answer

$$\text{Anglular speed } =  \dfrac{2 \pi}{T} =  \dfrac{2\pi }{\text{1 hour}} = 2\pi  \text{  radians/hour}$$

ganeshie8 · Answer

$$\text{Linear speed } =  \dfrac{2 \pi ~r}{T} =  \dfrac{2\pi\times 14 }{\text{1 hour}} = 28 \pi  \text{  ft/hour}$$