QUESTION 1: EPICYCLIC GEAR AND GEAR TRAINS An epicyclic gear train has a sun wheel with 24 teeth, and two planetary wheels of 46 teeth each, The latter mesh with the internal teeth of a fixed annulus with 116 teeth. The input shaft, carrying the sun wheel, transmits \( 4,5 \mathrm{~kW} \) at \( 280 \mathrm{r} / \mathrm{min} \). The output shaft is connected to an arm L that carries the planetary wheels. Calculate the speed of the output shaft.

Sloths are known for being slow. An average tree sloth moves at a speed of \( 0.743 \mathrm{~m} / \mathrm{s} \). T the nearest second, how long does it take a sloth to travel 22.3 m at this speed?

Una pesante maniglia in ottone ha una massa di \( 3,40 \mathrm{~kg} \). Quale volume in \( \mathrm{cm}^{3} \) occupa la maniglia? La densità dell'ottone è \( 8,40 \cdot 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \).

f Steve throws the football 50 meters in 3 seconds, what is the average speed of the football? (nearest hundredth) If it takes Ashley 3 seconds to run from the batters box to first base at an average spe of 6.5 meters per second, what is the distance she covers in that time? \( \begin{array}{l}\text { Bart ran } 5000 \text { meters from the cops and an average speed of } 8 \text { meters/second before } \\ \text { he got caught. How long did he run? }\end{array} \)

85 Un pannello di MDF, una fibra di legno utilizzata per mobili componibili, ha spessore \( (14,0 \pm 0,2) \mathrm{mm} \) e forma rettangolare con lati \( (60,0 \pm 0,1) \mathrm{cm} \mathrm{e}(80,0 \pm 0,1) \mathrm{cm} \); la sua massa è \( (5600 \pm 20) \mathrm{g} \). Le specifiche del prodotto in- dicano che il materiale ha densità \( 850 \mathrm{~kg} / \mathrm{m}^{3} \), con tolle- ranza dell'1\%. Calcola la densità del pannello in base ai valori mi- surati. L'indicazione delle specifiche può essere ritenuta cor- retta (cioè il valore ottenuto si discosta al massimo dell' \( 1 \% \) dal valore indicato)? \( \left[(830 \pm 20) \mathrm{kg} / \mathrm{m}^{3}\right. \); si]

22.Sebuah benda bermuatan \( \mathrm{q}=9 \times 10^{-5} \mathrm{C} \) dan mempunyai gaya elektrolisis \( 7,2 \mathrm{~N} \). maka kuat medan pada tempat benda tersebut berada adalah.. A. \( 1,2 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) B. \( 4,2 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) C. \( 5,0 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) D. \( 8,0 \times 10^{-6} \mathrm{~N} / \mathrm{C} \)