Yes

you do need a jacket based on the weather in London W5 5BL, UK 26 minutes ago

Why? Because it's on the windy side!
60°F15°C & Mostly Cloudy

Wind is 7 mph12 km/h from the West, gusting to 20 mph32 km/h
September 16
4pm58°F15°C6 mph10 km/h SouthwestMostly Cloudy
5pm57°F14°C6 mph10 km/h SouthwestCloudy
6pm56°F13°C6 mph9 km/h SouthwestMostly Cloudy
7pm55°F13°C6 mph9 km/h SouthwestCloudy
8pm55°F13°C5 mph9 km/h SouthwestCloudy
9pm55°F13°C6 mph9 km/h SouthwestCloudy
10pm54°F12°C5 mph8 km/h SouthwestDrizzle
11pm55°F13°C5 mph9 km/h SouthwestDrizzle
September 17
12am55°F13°C6 mph9 km/h SouthDrizzle
1am56°F13°C7 mph11 km/h SouthDrizzle
2am57°F14°C9 mph14 km/h SouthDrizzle
3am59°F15°C11 mph17 km/h SouthDrizzle
DateLowHighWindDayNight
September 1553°F12°C67°F19°C10 mph16 km/h from WestMostly CloudyDrizzle
September 1654°F12°C67°F19°C13 mph20 km/h from SouthwestDrizzleCloudy
September 1762°F17°C72°F22°C12 mph19 km/h from SouthwestMostly CloudyMostly Cloudy
September 1860°F15°C77°F25°C7 mph11 km/h from SouthPartly CloudyPartly Cloudy
September 1957°F14°C70°F21°C6 mph9 km/h from SouthDrizzleDrizzle
September 2051°F11°C64°F18°C9 mph15 km/h from NorthwestRainRain
September 2149°F10°C58°F15°C12 mph19 km/h from NortheastDrizzleDrizzle

Yes

Low of 55°F13°C, High of 67°F20°C
Wind: 13 mph20 km/h
Precipitation: 86% rain

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