You are here:

# Number Theory/Pendulum Wall Clock.

Question
Dear Prof Scott

Is it possible to design and Construct a Pendulum clock where the pendulum can rotate 180 degree?.

Thanks
Prashant

No, for the pendulum swings slightly less every time.  I mean, it may start out trying to do 180° by being straight out on one side, but it will quickly lose that potential that when it swings to the other side.  I think the swing rate is determined by a multiple of cos(x) where x is the angle the pendulum swings from straight up and down.  As x approaches 90°, the cos(x) approaches 0.  As x stays near 0°, the cos(x) stays very close to 1.  As can be seen in calculus, if f(x) = cos(x), f'(x) = -sin(x).  With x near 0, -sin(x) is even closer to 0, so the cos(x) curve is almost level at this point.

Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Dear Prof Scott Thanks. Thanks & Regards, Prashant S Akerkar

Number Theory

Volunteer

#### Scott A Wilson

##### Expertise

I can answer almost anything that is sent in. If I can't, I'll let you know, but I don't expect that to happen much.

##### Experience

I have known about number theory since the mid 80's. I have answered over 250 questions on Number Theory with this software. Altogether, I have answered over 8,500 questions in mathematics.

Publications
You're looking at it ... I've answered over 8,500 quesitons in mathematics right here.

Education/Credentials
My credentials are an MS in Mathematics at Oregon State in 1986; I received a BS in Mathematics at the same place in 1984.

Awards and Honors
I graduated with honors in Mathematics when getting my BS degree and my MS degree.

Past/Present Clients
I have assisted many students in mathematics at OSU. Perhaps I have assisted one of you're friends in math on a computer somewhere else, but you don't even know... That would be late last night, perhaps with thousands of miles between us ... Then again, if you're in Washington, so am I ...