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dangina [55]
4 years ago
6

If two identical trees are cut down, one with a hand saw, and one with an electric saw...

Physics
1 answer:
nataly862011 [7]4 years ago
4 0
The hand saw would involve more work because it takes more time and effort. 
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A Juggler is juggling a uniform rod one end of which is coated in tar and burning. He is holding the rod by the opposite end and
lyudmila [28]

The vertical speed of the rod varies inversely as the rotational speed for a given number of complete rotations

The equation that gives the vertical velocity, v₀ is  \, \underline{v_0=  \dfrac{ g \cdot \pi \cdot n}{  \omega_0   }}

Reason:

<em>From a similar question, the given parameters appear to be correctly given as follows;</em>

<em>The vertical speed of the rod = v₀</em>

<em>Angular velocity of the = ω₀</em>

Required;

The value of, v₀, so that the rod has made exactly, <em>n</em>, number of turns when it returns to his hand

Where;

n = An integer

Solution;

The time the rod spends in the air is given as follows;

Height, \ h = u \cdot t - \dfrac{1}{2} \cdot g \cdot t^2

Where;

g = Acceleration due to gravity

t = Time of motion

When the rod returns to his hand, we have, h = 0, therefore;

0 = u \cdot t - \dfrac{1}{2} \cdot g \cdot t^2

u \cdot t = \dfrac{1}{2} \cdot g \cdot t^2

t^2 =  \dfrac{u \cdot t }{\dfrac{1}{2} \cdot g } =   \dfrac{2 \cdot u \cdot t }{g }

Time, \ t =    \dfrac{2 \cdot u  }{g }

We have;

Angular \ velocity, \ \omega_0 = \dfrac{ 2 \cdot \pi \cdot n}{t} \ (required)

\omega_0 = \dfrac{ 2 \cdot \pi \cdot n}{  \dfrac{2 \cdot v_0  }{g }} =  \dfrac{ g \cdot \pi \cdot n}{  v_0 }

Therefore;

The \ vertical \ velocity, \, \underline{v_0=  \dfrac{ g \cdot \pi \cdot n}{  \omega_0   }}

Learn more here:

brainly.com/question/14140053

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