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24 Apr 2020
Angular Speed and Linear Speed In an automobile transmission a gear ratio
is the ratio
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAfBAMAAACrGmrlAAAACXBIWXMAAABkAAAAZAAPlsXdAAAAJ1BMVEVHcEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB+jSoGAAAADXRSTlMAiLtEZqEid1URzDPrJLN0HgAAA3hJREFUSMe9lc9PE0EUx990F9rSHmZpsBAvpUsUb0t/xFIvW9tYDz3UNBKIHkoIHggH0CaA8cCPVBtOqyQkBg8VhJB4KQf14gFDxPjjj/K9mW2tlC1CqJPXzO687/vu9HW2H4AzB+NOmR05+a7mm1f9HM41nP31UwXd1lmO3UX7wleU5Y/se+W1mLw1CtvfkP5igcZHqGscR6BsJccjlrt0LfBWPWKcJSaUdzl83FJE2a48gIW4hbESO0Jt5sCMDOK8EN/YXbsBC7cnk5yKUeDo/5PNsbzLmMUNaqAz7q8FQVPwmyyruLCqVNVAVb1ySP1XQrBH+8c13gd696HLwP3kXVG8d/RXy5xxl/EG3kt/uHsPL3D/PyZw9k8WYhpGnvqDyevkzwoxjlrvYU+NUfEI3jvZe3UhMdxBU/q/MjTh7/X1Cn9OtqzuPyj88YNamC+B9G9ziNwhFiB/BlSzw/hj0Azyd1tdsj+wVoXnVdGfKhzL/sAy+YtHYXEU7x2Pz/7KUETPjXX9+gLTid1VfabSm942sTJQgd7KBKRiRYrELh6v7IgZGcKiVGwqHPtafPiLR3QqRoHz+ZRTBtgc1OgY2FIvJrRNvKjJECekbiPOo2pCsPm+7VgEt9myqLUtcS9D6Z9fXHe6VavcN9rWlG6a8H/HykpHn6iEusRBmtRwdMC/y/Q3/1H4wpc6QuAvzgjjl7j9YAf274d52adoNHqrA/5qZr+9YMTpQKbsN8uTbVH+VfP9gvjqsU0OPrQom2r6lfwF/V3GiTf6VP/FFy2cqdNQoo7xBi5HpXRLhO1vnPAXSbwadcQX0bCBuhziiHCZOQT4tBFKDpdr7icTGJ5AzhB4TIfRNlfYnvrGiKkiyThqHU8U0rCBOvoQLjma9YPJuCeUhBTGrOg/4ZH2z+bimESmyiTjqHXsuKChjTryF7jE9c+7Fs7HfdEUhegP4VGQs/psq0hqmWQctU72koY26tB/QOASE9ZBiPw18ZM2/AdF//eyWaGWScZR6+QvaWijrsdgQYFLTCxBXvbHgzEj+1MVzwN4ujku/GWScdQ6+RMNbdR1F9bHIsOIyyQhUEsss+GypQbuiFgfA8JjOkydnoY9ICzKZERHrWP/5XEUqPN5/+ASrCKwAUz6ZHihGY9g91smSXsWvU5DHeOX9890GurihXOa/AY/sNI6DpS4HgAAAABJRU5ErkJggg==)
The angular speed of the engine is shown on the tachometer (in rpm). A certain sports car has wheels with radius
. Its gear ratios are shown in the following table. Suppose the car is in fourth gear and the tachometer reads
.
How fast (in mi/h) is the car traveling?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAACZCAMAAACL3Z3eAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC9UExURf///0+q4JPF6u30+9np9/b6/TWi3gCb3HW45a3S78Te8rGwsc/k9dva2np5fOPv+WSx4///+Nj6/5HO8yxNk4W+5//mr1V8lzhorv/1xvHEh77r+2glSUGW0f//7v732JGUkpI+MOvt6bba8qeomuCreGWe0MHEx6HL7CglJcWLWuf//+jTwjAlQEIueGZlZQ6Py/TWsIB7pV80Lpp4VfvYnXc0YtidW7NpNkRCQsrY6Je12iR+vaFhbNrs+AXUpxIAAANkSURBVGje7dp3c6JAHMZxjOLaeycq9thb4qVM7v2/rAMVBYRl97fP3P1x2ZlkMiZ8JwsfqWraz/gfRyoFTzI2wieTOjzJXtDJUpLFwclUhqXQSa3EEuhkgsXQSa2OhWQn41hI522ThkI6J3UopIsgKKRrCwnpmkRCcmYMhOQkgZBu2wUH6ZbEQbrrgUFydUosh06iILlnW2dpdBIEybNN0uwJnbQgFcFJDCRfAwHJl/ysdbHJoTlvqkO6J/XZ9mM8BEC6JPV8djs3ZzoE0q5pFgof88I4r6Mg7ZqzfH4IhRSwvCqkgKTqHumW7E3MQ+Xy45MaJCdZnkx7C+fQllSC5CQbp1Fv0YXska7J8q9apf/uJPWYCqRrsj/oau1BCQLpumzj2DRf19X7FZYCpGuyszGsuRsQSJdkeWKtysHU9boCJOe/bC07rYrrdQVIzub5Hh8qnl/QIYVuWjqkcC1kSJzlqJA4SSok3uyIkHhJIiTuNqBB4iZpkPhSSJAilgmAVF7l7G/ZHDH5CGlv7wN7k+lwUaclAyA1nqva28Y4f5GSj5CspH1Y0drPKVryEZKV7L23ltZxpUtMPkBSTz5AspOLczJGTVqQMv51ObHX5alKTlqQdN8Wb5/SmvfAIpf0Quov1tPf2r4wPhgaPWlBiuPekJQ9klDSgpQAJ+X2SIJ/64OESPogIZIyhzbRpAQk4fUuDkk4KQ5JXIcwJAlwopAkkqKQZN4WgpBkkroYJKnTCTFIcmcoQpDkkjmRP5c8jxKBJJksCkCSPdsTgCSbFIAkfU4aDUn+NDcSknwyEhLhZDwKEiEZBYlyyRABiZKMgES6QuZDol10cyHRklxIxFsDPEjEJA8S9QYGBxI1yYFEvl8XDol+CzAUEj2ZYyV0MhSSQrIY8uxB5XZqCCSVZMjTUKWnB2lWRyeDIaklAyEpPjYJgqSYDIKk+nAnAJJqMgCS8rPMR0ismb2NIQaSK7nNYyC5Jl7IYyABkn5IgKT24oWESPogIZLayAMJkvRCwiQTbkiYpAcSKyWcUZglyCPjgpRkt1HbMZVxW5u5NGqgPyD5M/7VKHeO85oBTe6/9NBnB/TR/66CZ756DbvRTx291fjYWqJn3tkY6ORbDTrz/qf9oQ7oTqGzbppfP7uZvz3+AFtmOEE8tapEAAAAAElFTkSuQmCC)
Angular Speed and Linear Speed In an automobile transmission a gear ratio is the ratio
The angular speed of the engine is shown on the tachometer (in rpm). A certain sports car has wheels with radius . Its gear ratios are shown in the following table. Suppose the car is in fourth gear and the tachometer reads
.
How fast (in mi/h) is the car traveling?
Elin HesselLv2
25 May 2020