(a) What's the time between 9h and 10h in which the minute and hour pointers are equal? (b) After midday, what's the first time in which the three pointers are equal?(adsbygoogle = window.adsbygoogle || []).push({});

For (a), I tried to do:

[tex]\Theta = \Theta_0 + \omega_{hours} \cdot t[/tex]

[tex]\omega = \frac{2 \cdot \pi}{T}[/tex]

[tex]\Theta_0 = 270^o[/tex]

[tex]\Theta = 270 + \frac{2\cdot \pi \cdot t}{60 \cdot 60 \cdot 12}[/tex]

[tex]\Theta = \Theta_0 + \omega_{minutes} \cdot t[/tex]

[tex]\Theta_0 = 0^o[/tex]

[tex]\Theta = \frac{2 \cdot \pi \cdot t}{60 \cdot 60}[/tex]

[tex]270 + \frac{2\cdot \pi \cdot t}{60 \cdot 60 \cdot 12} = \frac{2 \cdot \pi \cdot t}{60 \cdot 60}[/tex],

But the result of this equation is much bigger than 1 hour. So what's wrong?

I didn't try (b) yet but probably I need some clarification on (a) to give it a shot.

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# Homework Help: Circular motion - pointers of a clock

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