Physics, 16.11.2020 17:20 Ideen

A boy on a bicycle rides in a circle of radius ro at speed vo. If the boy now rides at a radius equal to half the initial radius ro, by what approximate factor must he change his speed in order to have the same radial acceleration

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Answer from: calebbailey2318

The speed must change by $\frac{1}{\sqrt{2}}$ factor in order to have the same radial acceleration.

Explanation:

The radial or centripetal acceleration is given by:

$a_{c} = \frac{v^{2}}{r}$

Where:

v: is the speed = v₀

r: is the radius = r₀

$a_{c} = \frac{v_{0}^{2}}{r_{0}}$ (1)

If the radius is now equal to half the initial radius the speed must be:

$a_{c} = \frac{v^{2}}{r_{0}/2}$ (2)

By equating equation (1) and (2):

$\frac{v_{0}^{2}}{r_{0}} = \frac{v^{2}}{r_{0}/2}$

$v^{2} = \frac{v_{0}^{2}}{2}$

$v = \frac{v_{0}}{\sqrt{2}}$

Therefore, the speed must change by $\frac{1}{\sqrt{2}}$ factor in order to have the same radial acceleration.

I hope it helps you!

Answer from: Quest

im not to sure what it is

Answer from: Quest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !

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A boy on a bicycle rides in a circle of radius ro at speed vo. If the boy now rides at a radius equa...

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