A wheel of circumference 2 m rolls on a circular path of radius 80 m. What is the angle made by the wheel about the centre of the path, if it rotates 64 times on its own axis?<\/p>\n
[amp_mcq option1=”1.6 rad” option2=”1.4 rad” option3=”1.2 rad” option4=”0.8 rad” correct=”option1″]<\/p>\n
This distance is an arc length on the circular path. The formula relating arc length (s), radius (R), and the angle ($\\theta$) subtended at the center (in radians) is $s = R \\times \\theta$.
\nHere, the arc length $s = 128$ m and the radius of the circular path $R = 80$ m.
\nSo, $128 = 80 \\times \\theta$.
\nSolve for $\\theta$:
\n$\\theta = \\frac{128}{80}$ radians.<\/p>\n