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tangential acceleration

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Racing drivers experience large g-forces when driving fast round corners. One racing driver is driving a car in a circular ring which is 116 m in diameter. At one instant, his total acceleration is 12.6 m/s2 with a direction of 29 relative to the tangent. I think you have to draw a triangle and use Pythagoras to get ar and at a) At this instant,... i) what is the driver's radial acceleration? m/s2 ii) what is the driver's tangential acceleration? m/s2 b) Starting from the instant described above, and maintaining the same tangential acceleration, how long does it take the driver and car to complete one more complete lap? s (Hint: first find either initial angular or linear velocity.)
EXERSCI 203 Formula Sheet Linear Kinematics Angular Kinematics Linear Kinetics Angular Kinetics v = স্বাধ স্বাধ Ax x-xi Δθ θα θε W = ΣΕ = ma Δε ΣΜ = Ια tf-ti At tf-ti Δν V₁ - Vi Δω W₁ - Wi nox no a f ā = At v = v₁ + at Ax = (0 +70%) t 2 1 no 4 Ax = vot + ₁₁₂at² w = w₁ + at A0 = α = F. At = m(v-vi) tf-ti Δε tf-ti M. At = I(wf-w₁) p = mv =(0-5000) t W = F.d H = Iw W = M.0 1 A0 = wot+at² E₁ = mg (Ah) M = Fd₁ mv² Iw² no t v² = v² + 2a (Ax) w² = w² + 2α (A0) Ek Ek = 2 2 nt V₁ = Xi+1-xi-1 2h kx² kᎾ 2 s = re Ee = Ee = 2 2 Xi-1-2x + xi+1 a₁ = V₁ = rw P = Fv P = Mw h² highest point (v₁ sin 0)² in proj mot Yapex Yi- a₁ = ra 1 = 2g - Σ I = ICM + md² i=1 time of flighty-y₁ = (v₁ sin 0)t; +gt 1 v ay = w²r quadratic formula r |a Totall = Other Kinematics FFT <HSFN *ob = xoa + xab FFT = UkFN XCOM CoApp² Vdist= Vprox + Vdist prox FD e = - 2 Other Kinetics a²+a Hsegment = Hlocal + Hremote = ICOMSWs + mr²wg m₁-m2 `m₁ + m² Σ=1 mixi Σ=1 mi v½₁₂- v₁' V2 - V1 2m2 i=1 Pixi hbounced hdropped m₁ + m₂ -Σ 41,2 = -b±√b² - 4ac 2a Vterm = 2mg CDAp XCOM Σ=1 mixi n i=1 mi Σ Pixi i=1 F Mc Material Properties F = kx σ = - Отах A 1 A = π(R² -²) π(R4-4) π(R4-4) Tr 1 = T = 4 2 J επ x σ 1 VQ E = I = -bh3 Tmax E Ib
Transcribed Image Text:EXERSCI 203 Formula Sheet Linear Kinematics Angular Kinematics Linear Kinetics Angular Kinetics v = স্বাধ স্বাধ Ax x-xi Δθ θα θε W = ΣΕ = ma Δε ΣΜ = Ια tf-ti At tf-ti Δν V₁ - Vi Δω W₁ - Wi nox no a f ā = At v = v₁ + at Ax = (0 +70%) t 2 1 no 4 Ax = vot + ₁₁₂at² w = w₁ + at A0 = α = F. At = m(v-vi) tf-ti Δε tf-ti M. At = I(wf-w₁) p = mv =(0-5000) t W = F.d H = Iw W = M.0 1 A0 = wot+at² E₁ = mg (Ah) M = Fd₁ mv² Iw² no t v² = v² + 2a (Ax) w² = w² + 2α (A0) Ek Ek = 2 2 nt V₁ = Xi+1-xi-1 2h kx² kᎾ 2 s = re Ee = Ee = 2 2 Xi-1-2x + xi+1 a₁ = V₁ = rw P = Fv P = Mw h² highest point (v₁ sin 0)² in proj mot Yapex Yi- a₁ = ra 1 = 2g - Σ I = ICM + md² i=1 time of flighty-y₁ = (v₁ sin 0)t; +gt 1 v ay = w²r quadratic formula r |a Totall = Other Kinematics FFT <HSFN *ob = xoa + xab FFT = UkFN XCOM CoApp² Vdist= Vprox + Vdist prox FD e = - 2 Other Kinetics a²+a Hsegment = Hlocal + Hremote = ICOMSWs + mr²wg m₁-m2 `m₁ + m² Σ=1 mixi Σ=1 mi v½₁₂- v₁' V2 - V1 2m2 i=1 Pixi hbounced hdropped m₁ + m₂ -Σ 41,2 = -b±√b² - 4ac 2a Vterm = 2mg CDAp XCOM Σ=1 mixi n i=1 mi Σ Pixi i=1 F Mc Material Properties F = kx σ = - Отах A 1 A = π(R² -²) π(R4-4) π(R4-4) Tr 1 = T = 4 2 J επ x σ 1 VQ E = I = -bh3 Tmax E Ib
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