Question

A bicycle racer enters a constant-radius curve on a flat track at a speed of 7.0 m/s. If the speed of the bicycle is increased at a constant rate of 1.5 m/s² along the curve, and the total acceleration at the beginning of the curve is 1.7 m/s², find the required radius of the curve. Round your answer to two significant figures. (Hint: Use path coordinates) Path Coordinates v_p = ve_t a_p = ?e_t + (v²/r_c)e_n (a) Draw a sketch showing r_c, e_t, and e_n (b) Fill in the following blanks. Note that some of the numerical values are given in the problem statement, and some must be calculated. For each calculated value, show how it was obtained, beginning each calculation with a formula. Unless otherwise indicated, each numerical value is worth 1 point. v = ______ m/s a_p = ______ m/s² a_t = ______ m/s² a_n = ______ m/s² r_c = ______ m

          A bicycle racer enters a constant-radius curve on a flat track at a speed of 7.0 m/s. If the speed of the bicycle is increased at a constant rate of 1.5 m/s² along the curve, and the total acceleration at the beginning of the curve is 1.7 m/s², find the required radius of the curve. Round your answer to two significant figures. (Hint: Use path coordinates)
Path Coordinates
v_p = ve_t
a_p = ?e_t + (v²/r_c)e_n
(a) Draw a sketch showing r_c, e_t, and e_n
(b) Fill in the following blanks. Note that some of the numerical values are given in the problem statement, and some must be calculated. For each calculated value, show how it was obtained, beginning each calculation with a formula. Unless otherwise indicated, each numerical value is worth 1 point.
v = ______ m/s
a_p = ______ m/s²
a_t = ______ m/s²
a_n = ______ m/s²
r_c = ______ m

A bicycle racer enters a constant-radius curve on a flat track at a speed of 7.0 m/s. If the speed of the bicycle is increased at a constant rate of 1.5 m/s² along the curve, and the total acceleration at the beginning of the curve is 1.7 m/s², find the required radius of the curve. Round your answer to two significant figures. (Hint: Use path coordinates)
Path Coordinates
vp = vet
ap = ?et + (v²/rc)en
(a) Draw a sketch showing rc, et, and en
(b) Fill in the following blanks. Note that some of the numerical values are given in the problem statement, and some must be calculated. For each calculated value, show how it was obtained, beginning each calculation with a formula. Unless otherwise indicated, each numerical value is worth 1 point.
v = m/s
ap = m/s²
at = m/s²
an = m/s²
rc = m

Added by Donald A.

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