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Math Help - some help on these please

  1. #1
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    some help on these please

    1) How many radians does the minute hand of a clock rotate during your birthday?

    2) A circular sector has an area of 122 cm^2 and a radius of 2 cm. what is the arc length of the sector?

    3) If the radius of a circular sector is 5 m and the arc length is 10 cm, find the central angle of the sector.

    4) A ferris wheel has a radius of 35.5 ft. if the ferris wheel completes one revolution in 30 sec, find the velocity of the outer edge in m.p.h. Use V=W*R
    W=Omega

    5) find to four sig digits in radians, for 0 ≤ theta < 2pi, if sec(theta)= -0.3422 and csc (theta) > 0.
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  2. #2
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    Quote Originally Posted by chris111690 View Post
    1) How many radians does the minute hand of a clock rotate during your birthday?

    how many revolutions does the minute hand make in 24 hours?
    how many radians in one revolution?


    2) A circular sector has an area of 122 cm^2 and a radius of 2 cm. what is the arc length of the sector?

    \textcolor{red}{A = \frac{r^2 \theta}{2}}

    \textcolor{red}{s = r\theta}

    3) If the radius of a circular sector is 5 m and the arc length is 10 cm, find the central angle of the sector.

    see the second equation in (2)

    4) A ferris wheel has a radius of 35.5 ft. if the ferris wheel completes one revolution in 30 sec, find the velocity of the outer edge in m.p.h. Use V=W*R
    W=Omega

    one rev in 30 sec is 2 rev/min

    1. convert rev/min to rad/hr

    2. convert 35.5 ft to miles


    5) find to four sig digits in radians, for 0 ≤ theta < 2pi, if sec(theta)= -0.3422 and csc (theta) > 0.

    if sec(t) < 0 and csc(t) > 0 , then what quadrant is (t) in ?

    remember sec(t) = 1/cos(t)
    ...
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  3. #3
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    Can you check these for me??

    1) How many radians does the minute hand of a clock rotate during your birthday?

    48 PI or 150.8 radians

    2) A circular sector has an area of 122 cm^2 and a radius of 2 cm. what is the arc length of the sector?

    Theta = 61 and S= 122

    3) If the radius of a circular sector is 5 m and the arc length is 10 cm, find the central angle of the sector.

    Theta=2

    4) A ferris wheel has a radius of 35.5 ft. if the ferris wheel completes one revolution in 30 sec, find the velocity of the outer edge in m.p.h. Use V=W*R
    W=Omega

    5.069 MPH

    5) find to four sig digits in radians, for 0 ≤ theta < 2pi, if sec(theta)= -0.3422 and csc (theta) > 0.

    3.1414
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