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Math Help - Minute hand of a clock

  1. #1
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    Minute hand of a clock

    The minute hand of a large clock is 6 feet long. Through what exact angle does the minute hand move in 30 minutes, and how far does the tip of the minute hand move in this time?
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    Quote Originally Posted by christenc05 View Post
    The minute hand of a large clock is 6 feet long. Through what exact angle does the minute hand move in 30 minutes, and how far does the tip of the minute hand move in this time?
    The minute makes a complete rotation in an hour so it goes half in half an hour so the angle is \pi. The arc length is given by r \theta where r is the radius of the circular arc and \theta is the angle suspending. In this case your arc length is 6 \times \ pi ft.

    Bobak
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    So does this mean that I just multiply 6 times `pi to get my answer. When I do this I get 18.84. Is this the angle or how far the tip of the minute hand has moved?
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    Quote Originally Posted by christenc05 View Post
    When I do this I get 18.84. Is this the angle or how far the tip of the minute hand has moved?
    bobak was quite clear about this in his response.

    The hand goes halfway around the face in 30 minutes ( \pi\text{ rad}), and the length of the arc traced out by the tip of the minute hand is given by s = r\theta = 6\pi.
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