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Question

An engineer wants to design an oval racetrack such that \( 3.20 \times 10^{3} \mathrm{lb} \) racecars can round the exactly 1000 ft radius turns at \( 96 \mathrm{mi} / \mathrm{h} \) without the aid of friction. She estimates that the cars will round the turns at a maximum of \( 175 \mathrm{mi} / \mathrm{h} \). Find the banking angle \( \theta \) necessary for the race cars to navigate the turns at \( 96 \mathrm{mi} / \mathrm{h} \) without the aid of friction. \[ \theta=\square \] This banking and radius are very close to the actual turn data at Daytona International Speedway, where \( 3.20 \times 10^{3} \mathrm{lb} \) stock cars travel around the turns at about \( 175 \mathrm{mi} / \mathrm{h} \). What additional radial force is necessary to prevent a race car from drifting on the curve at \( 175 \mathrm{mi} / \mathrm{h} \) ? radial force: \( \square \) N

          An engineer wants to design an oval racetrack such that \( 3.20 \times 10^{3} \mathrm{lb} \) racecars can round the exactly 1000 ft radius turns at \( 96 \mathrm{mi} / \mathrm{h} \) without the aid of friction. She estimates that the cars will round the turns at a maximum of \( 175 \mathrm{mi} / \mathrm{h} \).

Find the banking angle \( \theta \) necessary for the race cars to navigate the turns at \( 96 \mathrm{mi} / \mathrm{h} \) without the aid of friction.
\[
\theta=\square
\]

This banking and radius are very close to the actual turn data at Daytona International Speedway, where \( 3.20 \times 10^{3} \mathrm{lb} \) stock cars travel around the turns at about \( 175 \mathrm{mi} / \mathrm{h} \).

What additional radial force is necessary to prevent a race car from drifting on the curve at \( 175 \mathrm{mi} / \mathrm{h} \) ?
radial force: \( \square \) N

An engineer wants to design an oval racetrack such that 3.20 × 10^3lb racecars can round the exactly 1000 ft radius turns at 96 mi / h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi / h.

Find the banking angle θ necessary for the race cars to navigate the turns at 96 mi / h without the aid of friction.

θ=□

This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10^3lb stock cars travel around the turns at about 175 mi / h.

What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi / h ?
radial force: □ N

Added by David M.

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