Answer:
Given is:
Radius of the wheel R = 16 cm
Length pr distance L = 35 cm
Let θ be the angle of rotation in radians
We have the formula : θ = [tex]\frac{L}{R}[/tex]
= [tex]\frac{35\times10^{-2}}{16\times10^{-2}}[/tex]
θ = 2.187 radian
θ = [tex]\frac{180}{\pi } \times2.187[/tex]
= [tex]\frac{180}{3.14} \times2.187[/tex]
θ = 125.37 degrees.
The wheel rotates at an angle of 125.33 degrees or 2.1875 radian
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The length (L) of an arc is given by:
L = (Ф/360) * 2π * radius
Ф is in degrees, hence:
35 = (Ф/360) * 2π * 16
Ф = 125.33 degrees or 2.1875 radian
The wheel rotates at an angle of 125.33 degrees or 2.1875 radian
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