feminizmiki

2022-01-16

Your roommate is working on his bicycle and has the bike upside down. He spins the 56.0 cmcm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second.
What is the pebbles

Jimmy Macias

Expert

Step 1
Given, diameter wheel $=56.0cm$,
Debble makes three sands in a second.
Step 2
(a) Here time period of pebble $=\frac{1}{3}\mathrm{sec}$
Since $T=\frac{2\pi R}{V}⇒V=\frac{2\pi R}{T}⇒2\pi \left(\frac{0.56}{2}\right)\left(3\right)$
$V=3\pi \left(0.56\right)=5.98\frac{m}{s}=5.28\frac{m}{s}$
(b) Acceleration of pebble, ${a}_{c}=\frac{{V}^{2}}{R}=\frac{{\left(5.28\right)}^{2}}{\left(0.28\right)}=99.56\frac{m}{{s}^{2}}$

peterpan7117i

Expert

If the pebble by 3 times per sec, then the angular speed is given in xidian is $3\frac{\mathrm{sec}}{s}×2\pi =18.84ra\frac{d}{s}$
a) Tangontial speed is found with is
$V=r\omega$
$=\left(\frac{0.56}{2}\right)\cdot 8.84$
$=5.27\frac{m}{s}$
b) Acceleration is
$a=\frac{{v}^{2}}{r}$
$=\frac{{\left(5.27\right)}^{2}}{\left(\frac{0.56}{2}\right)}$
$=99.18\frac{m}{{s}^{2}}$

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