Answer:
32.925 m.
Explanation:
The formula of centripetal acceleration is
a = v²/r ............... Equation 1
Where a = centripetal acceleration, v = linear velocity, r = radius.
make r the subject of the equation.
r = a/v²............. Equation 2
Given: v = 22 m/s,
a = 1.5 times free fall acceleration
Note: Free fall = 9.8 m/s²
Therefore, a = 1.5×9.8 = 14.7 m/s²
Substitute into equation 2
r = 22²/14.7
r = 484/14.7
r = 32.925 m.
Hence the radius of the turn = 32.925 m.